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Finding the Third Proportional to 5,125.78 and 11,174.20

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Solution

The third proportional to 5,125.78 and 11,174.20 is: 24,359.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.78 : 11,174.20 = 11,174.20 : x
  2. Step 2: Convert to fraction form
    5,125.78/11,174.20 = 11,174.20/x
  3. Step 3: Cross multiply
    5,125.78x = 11,174.20 × 11,174.20
  4. Step 4: Simplify right side
    5,125.78x = 124,862,815.48
  5. Step 5: Solve for x
    x = 124,862,815.48/5,125.78
  6. Step 6: Final answer
    x = 24,359.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.