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Finding the Third Proportional to 5,174.50 and 8,197.19

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Solution

The third proportional to 5,174.50 and 8,197.19 is: 12,985.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.50 : 8,197.19 = 8,197.19 : x
  2. Step 2: Convert to fraction form
    5,174.50/8,197.19 = 8,197.19/x
  3. Step 3: Cross multiply
    5,174.50x = 8,197.19 × 8,197.19
  4. Step 4: Simplify right side
    5,174.50x = 67,193,882.91
  5. Step 5: Solve for x
    x = 67,193,882.91/5,174.50
  6. Step 6: Final answer
    x = 12,985.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.