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Finding the Third Proportional to 33,361.50 and 72,531

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Solution

The third proportional to 33,361.50 and 72,531 is: 157,689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,361.50 : 72,531 = 72,531 : x
  2. Step 2: Convert to fraction form
    33,361.50/72,531 = 72,531/x
  3. Step 3: Cross multiply
    33,361.50x = 72,531 × 72,531
  4. Step 4: Simplify right side
    33,361.50x = 5,260,745,961
  5. Step 5: Solve for x
    x = 5,260,745,961/33,361.50
  6. Step 6: Final answer
    x = 157,689.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.