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Finding the Third Proportional to 23,902.59 and 52,523.44

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Solution

The third proportional to 23,902.59 and 52,523.44 is: 115,414.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,902.59 : 52,523.44 = 52,523.44 : x
  2. Step 2: Convert to fraction form
    23,902.59/52,523.44 = 52,523.44/x
  3. Step 3: Cross multiply
    23,902.59x = 52,523.44 × 52,523.44
  4. Step 4: Simplify right side
    23,902.59x = 2,758,711,486.82
  5. Step 5: Solve for x
    x = 2,758,711,486.82/23,902.59
  6. Step 6: Final answer
    x = 115,414.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.