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Finding the Third Proportional to 31,488 and 63,884

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Solution

The third proportional to 31,488 and 63,884 is: 129,610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,488 : 63,884 = 63,884 : x
  2. Step 2: Convert to fraction form
    31,488/63,884 = 63,884/x
  3. Step 3: Cross multiply
    31,488x = 63,884 × 63,884
  4. Step 4: Simplify right side
    31,488x = 4,081,165,456
  5. Step 5: Solve for x
    x = 4,081,165,456/31,488
  6. Step 6: Final answer
    x = 129,610.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.