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Finding the Third Proportional to 22,876.50 and 36,526.50

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Solution

The third proportional to 22,876.50 and 36,526.50 is: 58,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,876.50 : 36,526.50 = 36,526.50 : x
  2. Step 2: Convert to fraction form
    22,876.50/36,526.50 = 36,526.50/x
  3. Step 3: Cross multiply
    22,876.50x = 36,526.50 × 36,526.50
  4. Step 4: Simplify right side
    22,876.50x = 1,334,185,202.25
  5. Step 5: Solve for x
    x = 1,334,185,202.25/22,876.50
  6. Step 6: Final answer
    x = 58,321.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.