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Finding the Third Proportional to 5,864 and 12,880

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Solution

The third proportional to 5,864 and 12,880 is: 28,290.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864 : 12,880 = 12,880 : x
  2. Step 2: Convert to fraction form
    5,864/12,880 = 12,880/x
  3. Step 3: Cross multiply
    5,864x = 12,880 × 12,880
  4. Step 4: Simplify right side
    5,864x = 165,894,400
  5. Step 5: Solve for x
    x = 165,894,400/5,864
  6. Step 6: Final answer
    x = 28,290.31

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Why These Related Problems?

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