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Finding the Third Proportional to 4,350.38 and 5,691.94

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Solution

The third proportional to 4,350.38 and 5,691.94 is: 7,447.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,350.38 : 5,691.94 = 5,691.94 : x
  2. Step 2: Convert to fraction form
    4,350.38/5,691.94 = 5,691.94/x
  3. Step 3: Cross multiply
    4,350.38x = 5,691.94 × 5,691.94
  4. Step 4: Simplify right side
    4,350.38x = 32,398,152.50
  5. Step 5: Solve for x
    x = 32,398,152.50/4,350.38
  6. Step 6: Final answer
    x = 7,447.21

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.