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Finding the Third Proportional to 8,565.75 and 12,871.41

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Solution

The third proportional to 8,565.75 and 12,871.41 is: 19,341.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.75 : 12,871.41 = 12,871.41 : x
  2. Step 2: Convert to fraction form
    8,565.75/12,871.41 = 12,871.41/x
  3. Step 3: Cross multiply
    8,565.75x = 12,871.41 × 12,871.41
  4. Step 4: Simplify right side
    8,565.75x = 165,673,098.85
  5. Step 5: Solve for x
    x = 165,673,098.85/8,565.75
  6. Step 6: Final answer
    x = 19,341.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.