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Finding the Third Proportional to 6,517.13 and 8,854.31

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Solution

The third proportional to 6,517.13 and 8,854.31 is: 12,029.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.13 : 8,854.31 = 8,854.31 : x
  2. Step 2: Convert to fraction form
    6,517.13/8,854.31 = 8,854.31/x
  3. Step 3: Cross multiply
    6,517.13x = 8,854.31 × 8,854.31
  4. Step 4: Simplify right side
    6,517.13x = 78,398,849.85
  5. Step 5: Solve for x
    x = 78,398,849.85/6,517.13
  6. Step 6: Final answer
    x = 12,029.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.