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Finding the Third Proportional to 3,565.27 and 5,245.38

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Solution

The third proportional to 3,565.27 and 5,245.38 is: 7,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.27 : 5,245.38 = 5,245.38 : x
  2. Step 2: Convert to fraction form
    3,565.27/5,245.38 = 5,245.38/x
  3. Step 3: Cross multiply
    3,565.27x = 5,245.38 × 5,245.38
  4. Step 4: Simplify right side
    3,565.27x = 27,514,040.85
  5. Step 5: Solve for x
    x = 27,514,040.85/3,565.27
  6. Step 6: Final answer
    x = 7,717.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.