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Finding the Third Proportional to 37,975 and 81,791

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Solution

The third proportional to 37,975 and 81,791 is: 176,162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,975 : 81,791 = 81,791 : x
  2. Step 2: Convert to fraction form
    37,975/81,791 = 81,791/x
  3. Step 3: Cross multiply
    37,975x = 81,791 × 81,791
  4. Step 4: Simplify right side
    37,975x = 6,689,767,681
  5. Step 5: Solve for x
    x = 6,689,767,681/37,975
  6. Step 6: Final answer
    x = 176,162.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.