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Finding the Third Proportional to 5,144.77 and 11,166.61

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Solution

The third proportional to 5,144.77 and 11,166.61 is: 24,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.77 : 11,166.61 = 11,166.61 : x
  2. Step 2: Convert to fraction form
    5,144.77/11,166.61 = 11,166.61/x
  3. Step 3: Cross multiply
    5,144.77x = 11,166.61 × 11,166.61
  4. Step 4: Simplify right side
    5,144.77x = 124,693,164.93
  5. Step 5: Solve for x
    x = 124,693,164.93/5,144.77
  6. Step 6: Final answer
    x = 24,236.90

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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.