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Finding the Third Proportional to 5,167.55 and 10,517.34

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Solution

The third proportional to 5,167.55 and 10,517.34 is: 21,405.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.55 : 10,517.34 = 10,517.34 : x
  2. Step 2: Convert to fraction form
    5,167.55/10,517.34 = 10,517.34/x
  3. Step 3: Cross multiply
    5,167.55x = 10,517.34 × 10,517.34
  4. Step 4: Simplify right side
    5,167.55x = 110,614,519.56
  5. Step 5: Solve for x
    x = 110,614,519.56/5,167.55
  6. Step 6: Final answer
    x = 21,405.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.