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Finding the Third Proportional to 8,311.57 and 12,475.79

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Solution

The third proportional to 8,311.57 and 12,475.79 is: 18,726.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.57 : 12,475.79 = 12,475.79 : x
  2. Step 2: Convert to fraction form
    8,311.57/12,475.79 = 12,475.79/x
  3. Step 3: Cross multiply
    8,311.57x = 12,475.79 × 12,475.79
  4. Step 4: Simplify right side
    8,311.57x = 155,645,410.20
  5. Step 5: Solve for x
    x = 155,645,410.20/8,311.57
  6. Step 6: Final answer
    x = 18,726.35

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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.