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Finding the Third Proportional to 765.50 and 1,658.13

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Solution

The third proportional to 765.50 and 1,658.13 is: 3,591.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.50 : 1,658.13 = 1,658.13 : x
  2. Step 2: Convert to fraction form
    765.50/1,658.13 = 1,658.13/x
  3. Step 3: Cross multiply
    765.50x = 1,658.13 × 1,658.13
  4. Step 4: Simplify right side
    765.50x = 2,749,378.52
  5. Step 5: Solve for x
    x = 2,749,378.52/765.50
  6. Step 6: Final answer
    x = 3,591.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.