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Finding the Third Proportional to 37,972 and 87,908

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Solution

The third proportional to 37,972 and 87,908 is: 203,513.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,972 : 87,908 = 87,908 : x
  2. Step 2: Convert to fraction form
    37,972/87,908 = 87,908/x
  3. Step 3: Cross multiply
    37,972x = 87,908 × 87,908
  4. Step 4: Simplify right side
    37,972x = 7,727,816,464
  5. Step 5: Solve for x
    x = 7,727,816,464/37,972
  6. Step 6: Final answer
    x = 203,513.55

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.