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Finding the Third Proportional to 3,565.69 and 6,711.19

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Solution

The third proportional to 3,565.69 and 6,711.19 is: 12,631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.69 : 6,711.19 = 6,711.19 : x
  2. Step 2: Convert to fraction form
    3,565.69/6,711.19 = 6,711.19/x
  3. Step 3: Cross multiply
    3,565.69x = 6,711.19 × 6,711.19
  4. Step 4: Simplify right side
    3,565.69x = 45,040,037.66
  5. Step 5: Solve for x
    x = 45,040,037.66/3,565.69
  6. Step 6: Final answer
    x = 12,631.52

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.