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Finding the Third Proportional to 24,712 and 51,472

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Solution

The third proportional to 24,712 and 51,472 is: 107,209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,712 : 51,472 = 51,472 : x
  2. Step 2: Convert to fraction form
    24,712/51,472 = 51,472/x
  3. Step 3: Cross multiply
    24,712x = 51,472 × 51,472
  4. Step 4: Simplify right side
    24,712x = 2,649,366,784
  5. Step 5: Solve for x
    x = 2,649,366,784/24,712
  6. Step 6: Final answer
    x = 107,209.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.