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Finding the Third Proportional to 17,876.53 and 39,253.78

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Solution

The third proportional to 17,876.53 and 39,253.78 is: 86,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,876.53 : 39,253.78 = 39,253.78 : x
  2. Step 2: Convert to fraction form
    17,876.53/39,253.78 = 39,253.78/x
  3. Step 3: Cross multiply
    17,876.53x = 39,253.78 × 39,253.78
  4. Step 4: Simplify right side
    17,876.53x = 1,540,859,342.42
  5. Step 5: Solve for x
    x = 1,540,859,342.42/17,876.53
  6. Step 6: Final answer
    x = 86,194.54

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