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Finding the Third Proportional to 37,702 and 82,877

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Solution

The third proportional to 37,702 and 82,877 is: 182,181.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,702 : 82,877 = 82,877 : x
  2. Step 2: Convert to fraction form
    37,702/82,877 = 82,877/x
  3. Step 3: Cross multiply
    37,702x = 82,877 × 82,877
  4. Step 4: Simplify right side
    37,702x = 6,868,597,129
  5. Step 5: Solve for x
    x = 6,868,597,129/37,702
  6. Step 6: Final answer
    x = 182,181.24

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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.