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Finding the Third Proportional to 7,591.85 and 11,407.71

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Solution

The third proportional to 7,591.85 and 11,407.71 is: 17,141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.85 : 11,407.71 = 11,407.71 : x
  2. Step 2: Convert to fraction form
    7,591.85/11,407.71 = 11,407.71/x
  3. Step 3: Cross multiply
    7,591.85x = 11,407.71 × 11,407.71
  4. Step 4: Simplify right side
    7,591.85x = 130,135,868.83
  5. Step 5: Solve for x
    x = 130,135,868.83/7,591.85
  6. Step 6: Final answer
    x = 17,141.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.