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Finding the Third Proportional to 8,565.75 and 15,400.13

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Solution

The third proportional to 8,565.75 and 15,400.13 is: 27,687.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.75 : 15,400.13 = 15,400.13 : x
  2. Step 2: Convert to fraction form
    8,565.75/15,400.13 = 15,400.13/x
  3. Step 3: Cross multiply
    8,565.75x = 15,400.13 × 15,400.13
  4. Step 4: Simplify right side
    8,565.75x = 237,163,850.02
  5. Step 5: Solve for x
    x = 237,163,850.02/8,565.75
  6. Step 6: Final answer
    x = 27,687.46

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.