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Finding the Third Proportional to 9,206 and 14,079

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Solution

The third proportional to 9,206 and 14,079 is: 21,531.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206 : 14,079 = 14,079 : x
  2. Step 2: Convert to fraction form
    9,206/14,079 = 14,079/x
  3. Step 3: Cross multiply
    9,206x = 14,079 × 14,079
  4. Step 4: Simplify right side
    9,206x = 198,218,241
  5. Step 5: Solve for x
    x = 198,218,241/9,206
  6. Step 6: Final answer
    x = 21,531.42

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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.