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Finding the Third Proportional to 10,952 and 16,699

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Solution

The third proportional to 10,952 and 16,699 is: 25,461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952 : 16,699 = 16,699 : x
  2. Step 2: Convert to fraction form
    10,952/16,699 = 16,699/x
  3. Step 3: Cross multiply
    10,952x = 16,699 × 16,699
  4. Step 4: Simplify right side
    10,952x = 278,856,601
  5. Step 5: Solve for x
    x = 278,856,601/10,952
  6. Step 6: Final answer
    x = 25,461.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.