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Finding the Third Proportional to 22,526 and 52,202.50

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Solution

The third proportional to 22,526 and 52,202.50 is: 120,975.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,526 : 52,202.50 = 52,202.50 : x
  2. Step 2: Convert to fraction form
    22,526/52,202.50 = 52,202.50/x
  3. Step 3: Cross multiply
    22,526x = 52,202.50 × 52,202.50
  4. Step 4: Simplify right side
    22,526x = 2,725,101,006.25
  5. Step 5: Solve for x
    x = 2,725,101,006.25/22,526
  6. Step 6: Final answer
    x = 120,975.81

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.