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Finding the Third Proportional to 5,171.34 and 11,217.87

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Solution

The third proportional to 5,171.34 and 11,217.87 is: 24,334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.34 : 11,217.87 = 11,217.87 : x
  2. Step 2: Convert to fraction form
    5,171.34/11,217.87 = 11,217.87/x
  3. Step 3: Cross multiply
    5,171.34x = 11,217.87 × 11,217.87
  4. Step 4: Simplify right side
    5,171.34x = 125,840,544.24
  5. Step 5: Solve for x
    x = 125,840,544.24/5,171.34
  6. Step 6: Final answer
    x = 24,334.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.