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Finding the Third Proportional to 6,860 and 10,322

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Solution

The third proportional to 6,860 and 10,322 is: 15,531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860 : 10,322 = 10,322 : x
  2. Step 2: Convert to fraction form
    6,860/10,322 = 10,322/x
  3. Step 3: Cross multiply
    6,860x = 10,322 × 10,322
  4. Step 4: Simplify right side
    6,860x = 106,543,684
  5. Step 5: Solve for x
    x = 106,543,684/6,860
  6. Step 6: Final answer
    x = 15,531.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.