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Finding the Third Proportional to 29,451 and 62,871

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Solution

The third proportional to 29,451 and 62,871 is: 134,214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,451 : 62,871 = 62,871 : x
  2. Step 2: Convert to fraction form
    29,451/62,871 = 62,871/x
  3. Step 3: Cross multiply
    29,451x = 62,871 × 62,871
  4. Step 4: Simplify right side
    29,451x = 3,952,762,641
  5. Step 5: Solve for x
    x = 3,952,762,641/29,451
  6. Step 6: Final answer
    x = 134,214.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.