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Finding the Third Proportional to 6,514 and 14,017

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Solution

The third proportional to 6,514 and 14,017 is: 30,162.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514 : 14,017 = 14,017 : x
  2. Step 2: Convert to fraction form
    6,514/14,017 = 14,017/x
  3. Step 3: Cross multiply
    6,514x = 14,017 × 14,017
  4. Step 4: Simplify right side
    6,514x = 196,476,289
  5. Step 5: Solve for x
    x = 196,476,289/6,514
  6. Step 6: Final answer
    x = 30,162.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.