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Finding the Third Proportional to 9,186 and 13,017

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Solution

The third proportional to 9,186 and 13,017 is: 18,445.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186 : 13,017 = 13,017 : x
  2. Step 2: Convert to fraction form
    9,186/13,017 = 13,017/x
  3. Step 3: Cross multiply
    9,186x = 13,017 × 13,017
  4. Step 4: Simplify right side
    9,186x = 169,442,289
  5. Step 5: Solve for x
    x = 169,442,289/9,186
  6. Step 6: Final answer
    x = 18,445.71

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.