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Finding the Third Proportional to 5,384 and 5,876

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Solution

The third proportional to 5,384 and 5,876 is: 6,412.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384 : 5,876 = 5,876 : x
  2. Step 2: Convert to fraction form
    5,384/5,876 = 5,876/x
  3. Step 3: Cross multiply
    5,384x = 5,876 × 5,876
  4. Step 4: Simplify right side
    5,384x = 34,527,376
  5. Step 5: Solve for x
    x = 34,527,376/5,384
  6. Step 6: Final answer
    x = 6,412.96

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.