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Finding the Third Proportional to 15,162 and 27,042.75

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Solution

The third proportional to 15,162 and 27,042.75 is: 48,233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,162 : 27,042.75 = 27,042.75 : x
  2. Step 2: Convert to fraction form
    15,162/27,042.75 = 27,042.75/x
  3. Step 3: Cross multiply
    15,162x = 27,042.75 × 27,042.75
  4. Step 4: Simplify right side
    15,162x = 731,310,327.56
  5. Step 5: Solve for x
    x = 731,310,327.56/15,162
  6. Step 6: Final answer
    x = 48,233.10

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.