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Finding the Third Proportional to 3,565.27 and 8,243.02

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Solution

The third proportional to 3,565.27 and 8,243.02 is: 19,058.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.27 : 8,243.02 = 8,243.02 : x
  2. Step 2: Convert to fraction form
    3,565.27/8,243.02 = 8,243.02/x
  3. Step 3: Cross multiply
    3,565.27x = 8,243.02 × 8,243.02
  4. Step 4: Simplify right side
    3,565.27x = 67,947,306.59
  5. Step 5: Solve for x
    x = 67,947,306.59/3,565.27
  6. Step 6: Final answer
    x = 19,058.13

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.