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Finding the Third Proportional to 6,517.13 and 10,194.19

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Solution

The third proportional to 6,517.13 and 10,194.19 is: 15,945.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.13 : 10,194.19 = 10,194.19 : x
  2. Step 2: Convert to fraction form
    6,517.13/10,194.19 = 10,194.19/x
  3. Step 3: Cross multiply
    6,517.13x = 10,194.19 × 10,194.19
  4. Step 4: Simplify right side
    6,517.13x = 103,921,458.79
  5. Step 5: Solve for x
    x = 103,921,458.79/6,517.13
  6. Step 6: Final answer
    x = 15,945.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.