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Finding the Third Proportional to 47,714 and 71,331

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Solution

The third proportional to 47,714 and 71,331 is: 106,637.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,714 : 71,331 = 71,331 : x
  2. Step 2: Convert to fraction form
    47,714/71,331 = 71,331/x
  3. Step 3: Cross multiply
    47,714x = 71,331 × 71,331
  4. Step 4: Simplify right side
    47,714x = 5,088,111,561
  5. Step 5: Solve for x
    x = 5,088,111,561/47,714
  6. Step 6: Final answer
    x = 106,637.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.