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Finding the Third Proportional to 17,626 and 38,660

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Solution

The third proportional to 17,626 and 38,660 is: 84,794.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,626 : 38,660 = 38,660 : x
  2. Step 2: Convert to fraction form
    17,626/38,660 = 38,660/x
  3. Step 3: Cross multiply
    17,626x = 38,660 × 38,660
  4. Step 4: Simplify right side
    17,626x = 1,494,595,600
  5. Step 5: Solve for x
    x = 1,494,595,600/17,626
  6. Step 6: Final answer
    x = 84,794.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.