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Finding the Third Proportional to 6,889 and 8,389

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Solution

The third proportional to 6,889 and 8,389 is: 10,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889 : 8,389 = 8,389 : x
  2. Step 2: Convert to fraction form
    6,889/8,389 = 8,389/x
  3. Step 3: Cross multiply
    6,889x = 8,389 × 8,389
  4. Step 4: Simplify right side
    6,889x = 70,375,321
  5. Step 5: Solve for x
    x = 70,375,321/6,889
  6. Step 6: Final answer
    x = 10,215.61

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.