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Finding the Third Proportional to 5,761.13 and 9,240.19

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Solution

The third proportional to 5,761.13 and 9,240.19 is: 14,820.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.13 : 9,240.19 = 9,240.19 : x
  2. Step 2: Convert to fraction form
    5,761.13/9,240.19 = 9,240.19/x
  3. Step 3: Cross multiply
    5,761.13x = 9,240.19 × 9,240.19
  4. Step 4: Simplify right side
    5,761.13x = 85,381,065.04
  5. Step 5: Solve for x
    x = 85,381,065.04/5,761.13
  6. Step 6: Final answer
    x = 14,820.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.