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Finding the Third Proportional to 18,626 and 37,792

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Solution

The third proportional to 18,626 and 37,792 is: 76,679.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,626 : 37,792 = 37,792 : x
  2. Step 2: Convert to fraction form
    18,626/37,792 = 37,792/x
  3. Step 3: Cross multiply
    18,626x = 37,792 × 37,792
  4. Step 4: Simplify right side
    18,626x = 1,428,235,264
  5. Step 5: Solve for x
    x = 1,428,235,264/18,626
  6. Step 6: Final answer
    x = 76,679.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.