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Finding the Third Proportional to 17,698 and 27,624

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Solution

The third proportional to 17,698 and 27,624 is: 43,117.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,698 : 27,624 = 27,624 : x
  2. Step 2: Convert to fraction form
    17,698/27,624 = 27,624/x
  3. Step 3: Cross multiply
    17,698x = 27,624 × 27,624
  4. Step 4: Simplify right side
    17,698x = 763,085,376
  5. Step 5: Solve for x
    x = 763,085,376/17,698
  6. Step 6: Final answer
    x = 43,117.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.