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Finding the Third Proportional to 24,228.28 and 51,391.97

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Solution

The third proportional to 24,228.28 and 51,391.97 is: 109,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,228.28 : 51,391.97 = 51,391.97 : x
  2. Step 2: Convert to fraction form
    24,228.28/51,391.97 = 51,391.97/x
  3. Step 3: Cross multiply
    24,228.28x = 51,391.97 × 51,391.97
  4. Step 4: Simplify right side
    24,228.28x = 2,641,134,452.00
  5. Step 5: Solve for x
    x = 2,641,134,452.00/24,228.28
  6. Step 6: Final answer
    x = 109,010.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.