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Finding the Third Proportional to 37,806 and 81,948

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Solution

The third proportional to 37,806 and 81,948 is: 177,629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,806 : 81,948 = 81,948 : x
  2. Step 2: Convert to fraction form
    37,806/81,948 = 81,948/x
  3. Step 3: Cross multiply
    37,806x = 81,948 × 81,948
  4. Step 4: Simplify right side
    37,806x = 6,715,474,704
  5. Step 5: Solve for x
    x = 6,715,474,704/37,806
  6. Step 6: Final answer
    x = 177,629.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.