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Finding the Third Proportional to 3,517.31 and 5,110.88

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Solution

The third proportional to 3,517.31 and 5,110.88 is: 7,426.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.31 : 5,110.88 = 5,110.88 : x
  2. Step 2: Convert to fraction form
    3,517.31/5,110.88 = 5,110.88/x
  3. Step 3: Cross multiply
    3,517.31x = 5,110.88 × 5,110.88
  4. Step 4: Simplify right side
    3,517.31x = 26,121,043.27
  5. Step 5: Solve for x
    x = 26,121,043.27/3,517.31
  6. Step 6: Final answer
    x = 7,426.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.