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Finding the Third Proportional to 11,174.20 and 24,170.91

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Solution

The third proportional to 11,174.20 and 24,170.91 is: 52,284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,174.20 : 24,170.91 = 24,170.91 : x
  2. Step 2: Convert to fraction form
    11,174.20/24,170.91 = 24,170.91/x
  3. Step 3: Cross multiply
    11,174.20x = 24,170.91 × 24,170.91
  4. Step 4: Simplify right side
    11,174.20x = 584,232,708.95
  5. Step 5: Solve for x
    x = 584,232,708.95/11,174.20
  6. Step 6: Final answer
    x = 52,284.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.