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Finding the Third Proportional to 25,351.50 and 56,526

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Solution

The third proportional to 25,351.50 and 56,526 is: 126,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,351.50 : 56,526 = 56,526 : x
  2. Step 2: Convert to fraction form
    25,351.50/56,526 = 56,526/x
  3. Step 3: Cross multiply
    25,351.50x = 56,526 × 56,526
  4. Step 4: Simplify right side
    25,351.50x = 3,195,188,676
  5. Step 5: Solve for x
    x = 3,195,188,676/25,351.50
  6. Step 6: Final answer
    x = 126,035.49

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.