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Finding the Third Proportional to 10,086 and 14,175

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Solution

The third proportional to 10,086 and 14,175 is: 19,921.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086 : 14,175 = 14,175 : x
  2. Step 2: Convert to fraction form
    10,086/14,175 = 14,175/x
  3. Step 3: Cross multiply
    10,086x = 14,175 × 14,175
  4. Step 4: Simplify right side
    10,086x = 200,930,625
  5. Step 5: Solve for x
    x = 200,930,625/10,086
  6. Step 6: Final answer
    x = 19,921.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.