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Finding the Third Proportional to 10,753 and 23,626

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Solution

The third proportional to 10,753 and 23,626 is: 51,909.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753 : 23,626 = 23,626 : x
  2. Step 2: Convert to fraction form
    10,753/23,626 = 23,626/x
  3. Step 3: Cross multiply
    10,753x = 23,626 × 23,626
  4. Step 4: Simplify right side
    10,753x = 558,187,876
  5. Step 5: Solve for x
    x = 558,187,876/10,753
  6. Step 6: Final answer
    x = 51,909.97

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.