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Finding the Third Proportional to 5,676 and 10,092

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Solution

The third proportional to 5,676 and 10,092 is: 17,943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676 : 10,092 = 10,092 : x
  2. Step 2: Convert to fraction form
    5,676/10,092 = 10,092/x
  3. Step 3: Cross multiply
    5,676x = 10,092 × 10,092
  4. Step 4: Simplify right side
    5,676x = 101,848,464
  5. Step 5: Solve for x
    x = 101,848,464/5,676
  6. Step 6: Final answer
    x = 17,943.70

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.