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Finding the Third Proportional to 24,256.69 and 52,201.69

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Solution

The third proportional to 24,256.69 and 52,201.69 is: 112,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,256.69 : 52,201.69 = 52,201.69 : x
  2. Step 2: Convert to fraction form
    24,256.69/52,201.69 = 52,201.69/x
  3. Step 3: Cross multiply
    24,256.69x = 52,201.69 × 52,201.69
  4. Step 4: Simplify right side
    24,256.69x = 2,725,016,177.85
  5. Step 5: Solve for x
    x = 2,725,016,177.85/24,256.69
  6. Step 6: Final answer
    x = 112,340.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.