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Finding the Third Proportional to 14,691.27 and 31,720.36

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Solution

The third proportional to 14,691.27 and 31,720.36 is: 68,488.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691.27 : 31,720.36 = 31,720.36 : x
  2. Step 2: Convert to fraction form
    14,691.27/31,720.36 = 31,720.36/x
  3. Step 3: Cross multiply
    14,691.27x = 31,720.36 × 31,720.36
  4. Step 4: Simplify right side
    14,691.27x = 1,006,181,198.88
  5. Step 5: Solve for x
    x = 1,006,181,198.88/14,691.27
  6. Step 6: Final answer
    x = 68,488.38

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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.