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Finding the Third Proportional to 38,074 and 55,812

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Solution

The third proportional to 38,074 and 55,812 is: 81,813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,074 : 55,812 = 55,812 : x
  2. Step 2: Convert to fraction form
    38,074/55,812 = 55,812/x
  3. Step 3: Cross multiply
    38,074x = 55,812 × 55,812
  4. Step 4: Simplify right side
    38,074x = 3,114,979,344
  5. Step 5: Solve for x
    x = 3,114,979,344/38,074
  6. Step 6: Final answer
    x = 81,813.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.