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Finding the Third Proportional to 15,632 and 33,531

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Solution

The third proportional to 15,632 and 33,531 is: 71,924.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,632 : 33,531 = 33,531 : x
  2. Step 2: Convert to fraction form
    15,632/33,531 = 33,531/x
  3. Step 3: Cross multiply
    15,632x = 33,531 × 33,531
  4. Step 4: Simplify right side
    15,632x = 1,124,327,961
  5. Step 5: Solve for x
    x = 1,124,327,961/15,632
  6. Step 6: Final answer
    x = 71,924.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.