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Finding the Third Proportional to 5,761.13 and 9,421.31

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Solution

The third proportional to 5,761.13 and 9,421.31 is: 15,406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.13 : 9,421.31 = 9,421.31 : x
  2. Step 2: Convert to fraction form
    5,761.13/9,421.31 = 9,421.31/x
  3. Step 3: Cross multiply
    5,761.13x = 9,421.31 × 9,421.31
  4. Step 4: Simplify right side
    5,761.13x = 88,761,129.22
  5. Step 5: Solve for x
    x = 88,761,129.22/5,761.13
  6. Step 6: Final answer
    x = 15,406.91

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.