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Finding the Third Proportional to 9,860 and 13,286

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Solution

The third proportional to 9,860 and 13,286 is: 17,902.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860 : 13,286 = 13,286 : x
  2. Step 2: Convert to fraction form
    9,860/13,286 = 13,286/x
  3. Step 3: Cross multiply
    9,860x = 13,286 × 13,286
  4. Step 4: Simplify right side
    9,860x = 176,517,796
  5. Step 5: Solve for x
    x = 176,517,796/9,860
  6. Step 6: Final answer
    x = 17,902.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.