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Finding the Third Proportional to 37,606 and 81,686

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Solution

The third proportional to 37,606 and 81,686 is: 177,434.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,606 : 81,686 = 81,686 : x
  2. Step 2: Convert to fraction form
    37,606/81,686 = 81,686/x
  3. Step 3: Cross multiply
    37,606x = 81,686 × 81,686
  4. Step 4: Simplify right side
    37,606x = 6,672,602,596
  5. Step 5: Solve for x
    x = 6,672,602,596/37,606
  6. Step 6: Final answer
    x = 177,434.52

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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.