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Finding the Third Proportional to 35,727 and 75,463

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Solution

The third proportional to 35,727 and 75,463 is: 159,393.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,727 : 75,463 = 75,463 : x
  2. Step 2: Convert to fraction form
    35,727/75,463 = 75,463/x
  3. Step 3: Cross multiply
    35,727x = 75,463 × 75,463
  4. Step 4: Simplify right side
    35,727x = 5,694,664,369
  5. Step 5: Solve for x
    x = 5,694,664,369/35,727
  6. Step 6: Final answer
    x = 159,393.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.