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Finding the Third Proportional to 38,074 and 91,612

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Solution

The third proportional to 38,074 and 91,612 is: 220,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,074 : 91,612 = 91,612 : x
  2. Step 2: Convert to fraction form
    38,074/91,612 = 91,612/x
  3. Step 3: Cross multiply
    38,074x = 91,612 × 91,612
  4. Step 4: Simplify right side
    38,074x = 8,392,758,544
  5. Step 5: Solve for x
    x = 8,392,758,544/38,074
  6. Step 6: Final answer
    x = 220,432.80

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.