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Finding the Third Proportional to 8,514 and 13,699

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Solution

The third proportional to 8,514 and 13,699 is: 22,041.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514 : 13,699 = 13,699 : x
  2. Step 2: Convert to fraction form
    8,514/13,699 = 13,699/x
  3. Step 3: Cross multiply
    8,514x = 13,699 × 13,699
  4. Step 4: Simplify right side
    8,514x = 187,662,601
  5. Step 5: Solve for x
    x = 187,662,601/8,514
  6. Step 6: Final answer
    x = 22,041.65

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.