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Finding the Third Proportional to 8,565.75 and 13,743

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Solution

The third proportional to 8,565.75 and 13,743 is: 22,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.75 : 13,743 = 13,743 : x
  2. Step 2: Convert to fraction form
    8,565.75/13,743 = 13,743/x
  3. Step 3: Cross multiply
    8,565.75x = 13,743 × 13,743
  4. Step 4: Simplify right side
    8,565.75x = 188,870,049
  5. Step 5: Solve for x
    x = 188,870,049/8,565.75
  6. Step 6: Final answer
    x = 22,049.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.