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Finding the Third Proportional to 29,857 and 62,952

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Solution

The third proportional to 29,857 and 62,952 is: 132,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,857 : 62,952 = 62,952 : x
  2. Step 2: Convert to fraction form
    29,857/62,952 = 62,952/x
  3. Step 3: Cross multiply
    29,857x = 62,952 × 62,952
  4. Step 4: Simplify right side
    29,857x = 3,962,954,304
  5. Step 5: Solve for x
    x = 3,962,954,304/29,857
  6. Step 6: Final answer
    x = 132,731.16

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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.