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Finding the Third Proportional to 37,744 and 81,283

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Solution

The third proportional to 37,744 and 81,283 is: 175,045.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,744 : 81,283 = 81,283 : x
  2. Step 2: Convert to fraction form
    37,744/81,283 = 81,283/x
  3. Step 3: Cross multiply
    37,744x = 81,283 × 81,283
  4. Step 4: Simplify right side
    37,744x = 6,606,926,089
  5. Step 5: Solve for x
    x = 6,606,926,089/37,744
  6. Step 6: Final answer
    x = 175,045.73

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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.