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Finding the Third Proportional to 17,683 and 37,791

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Solution

The third proportional to 17,683 and 37,791 is: 80,764.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683 : 37,791 = 37,791 : x
  2. Step 2: Convert to fraction form
    17,683/37,791 = 37,791/x
  3. Step 3: Cross multiply
    17,683x = 37,791 × 37,791
  4. Step 4: Simplify right side
    17,683x = 1,428,159,681
  5. Step 5: Solve for x
    x = 1,428,159,681/17,683
  6. Step 6: Final answer
    x = 80,764.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.