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Finding the Third Proportional to 5,680 and 13,756

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Solution

The third proportional to 5,680 and 13,756 is: 33,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680 : 13,756 = 13,756 : x
  2. Step 2: Convert to fraction form
    5,680/13,756 = 13,756/x
  3. Step 3: Cross multiply
    5,680x = 13,756 × 13,756
  4. Step 4: Simplify right side
    5,680x = 189,227,536
  5. Step 5: Solve for x
    x = 189,227,536/5,680
  6. Step 6: Final answer
    x = 33,314.71

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.