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Finding the Third Proportional to 17,714 and 41,376

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Solution

The third proportional to 17,714 and 41,376 is: 96,645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714 : 41,376 = 41,376 : x
  2. Step 2: Convert to fraction form
    17,714/41,376 = 41,376/x
  3. Step 3: Cross multiply
    17,714x = 41,376 × 41,376
  4. Step 4: Simplify right side
    17,714x = 1,711,973,376
  5. Step 5: Solve for x
    x = 1,711,973,376/17,714
  6. Step 6: Final answer
    x = 96,645.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.