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Finding the Third Proportional to 4,080.38 and 4,591.69

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Solution

The third proportional to 4,080.38 and 4,591.69 is: 5,167.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,080.38 : 4,591.69 = 4,591.69 : x
  2. Step 2: Convert to fraction form
    4,080.38/4,591.69 = 4,591.69/x
  3. Step 3: Cross multiply
    4,080.38x = 4,591.69 × 4,591.69
  4. Step 4: Simplify right side
    4,080.38x = 21,083,594.10
  5. Step 5: Solve for x
    x = 21,083,594.10/4,080.38
  6. Step 6: Final answer
    x = 5,167.07

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.