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Finding the Third Proportional to 5,680 and 8,694

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Solution

The third proportional to 5,680 and 8,694 is: 13,307.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680 : 8,694 = 8,694 : x
  2. Step 2: Convert to fraction form
    5,680/8,694 = 8,694/x
  3. Step 3: Cross multiply
    5,680x = 8,694 × 8,694
  4. Step 4: Simplify right side
    5,680x = 75,585,636
  5. Step 5: Solve for x
    x = 75,585,636/5,680
  6. Step 6: Final answer
    x = 13,307.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.