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Finding the Third Proportional to 5,724 and 8,876

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Solution

The third proportional to 5,724 and 8,876 is: 13,763.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724 : 8,876 = 8,876 : x
  2. Step 2: Convert to fraction form
    5,724/8,876 = 8,876/x
  3. Step 3: Cross multiply
    5,724x = 8,876 × 8,876
  4. Step 4: Simplify right side
    5,724x = 78,783,376
  5. Step 5: Solve for x
    x = 78,783,376/5,724
  6. Step 6: Final answer
    x = 13,763.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.