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Finding the Third Proportional to 15,098 and 30,626

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Solution

The third proportional to 15,098 and 30,626 is: 62,124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098 : 30,626 = 30,626 : x
  2. Step 2: Convert to fraction form
    15,098/30,626 = 30,626/x
  3. Step 3: Cross multiply
    15,098x = 30,626 × 30,626
  4. Step 4: Simplify right side
    15,098x = 937,951,876
  5. Step 5: Solve for x
    x = 937,951,876/15,098
  6. Step 6: Final answer
    x = 62,124.25

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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.