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Finding the Third Proportional to 4,291.31 and 9,934.31

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Solution

The third proportional to 4,291.31 and 9,934.31 is: 22,997.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.31 : 9,934.31 = 9,934.31 : x
  2. Step 2: Convert to fraction form
    4,291.31/9,934.31 = 9,934.31/x
  3. Step 3: Cross multiply
    4,291.31x = 9,934.31 × 9,934.31
  4. Step 4: Simplify right side
    4,291.31x = 98,690,564.85
  5. Step 5: Solve for x
    x = 98,690,564.85/4,291.31
  6. Step 6: Final answer
    x = 22,997.76

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.