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Finding the Third Proportional to 10,174 and 16,863

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Solution

The third proportional to 10,174 and 16,863 is: 27,949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174 : 16,863 = 16,863 : x
  2. Step 2: Convert to fraction form
    10,174/16,863 = 16,863/x
  3. Step 3: Cross multiply
    10,174x = 16,863 × 16,863
  4. Step 4: Simplify right side
    10,174x = 284,360,769
  5. Step 5: Solve for x
    x = 284,360,769/10,174
  6. Step 6: Final answer
    x = 27,949.75

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.