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Finding the Third Proportional to 35,734 and 52,531

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Solution

The third proportional to 35,734 and 52,531 is: 77,223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,734 : 52,531 = 52,531 : x
  2. Step 2: Convert to fraction form
    35,734/52,531 = 52,531/x
  3. Step 3: Cross multiply
    35,734x = 52,531 × 52,531
  4. Step 4: Simplify right side
    35,734x = 2,759,505,961
  5. Step 5: Solve for x
    x = 2,759,505,961/35,734
  6. Step 6: Final answer
    x = 77,223.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.