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Finding the Third Proportional to 29,540 and 63,718

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Solution

The third proportional to 29,540 and 63,718 is: 137,440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,540 : 63,718 = 63,718 : x
  2. Step 2: Convert to fraction form
    29,540/63,718 = 63,718/x
  3. Step 3: Cross multiply
    29,540x = 63,718 × 63,718
  4. Step 4: Simplify right side
    29,540x = 4,059,983,524
  5. Step 5: Solve for x
    x = 4,059,983,524/29,540
  6. Step 6: Final answer
    x = 137,440.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.