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Finding the Third Proportional to 16,134.75 and 34,818.75

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Solution

The third proportional to 16,134.75 and 34,818.75 is: 75,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,134.75 : 34,818.75 = 34,818.75 : x
  2. Step 2: Convert to fraction form
    16,134.75/34,818.75 = 34,818.75/x
  3. Step 3: Cross multiply
    16,134.75x = 34,818.75 × 34,818.75
  4. Step 4: Simplify right side
    16,134.75x = 1,212,345,351.56
  5. Step 5: Solve for x
    x = 1,212,345,351.56/16,134.75
  6. Step 6: Final answer
    x = 75,138.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.