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Finding the Third Proportional to 37,722 and 82,974

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Solution

The third proportional to 37,722 and 82,974 is: 182,511.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,722 : 82,974 = 82,974 : x
  2. Step 2: Convert to fraction form
    37,722/82,974 = 82,974/x
  3. Step 3: Cross multiply
    37,722x = 82,974 × 82,974
  4. Step 4: Simplify right side
    37,722x = 6,884,684,676
  5. Step 5: Solve for x
    x = 6,884,684,676/37,722
  6. Step 6: Final answer
    x = 182,511.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.