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Finding the Third Proportional to 17,627 and 27,281

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Solution

The third proportional to 17,627 and 27,281 is: 42,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,627 : 27,281 = 27,281 : x
  2. Step 2: Convert to fraction form
    17,627/27,281 = 27,281/x
  3. Step 3: Cross multiply
    17,627x = 27,281 × 27,281
  4. Step 4: Simplify right side
    17,627x = 744,252,961
  5. Step 5: Solve for x
    x = 744,252,961/17,627
  6. Step 6: Final answer
    x = 42,222.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.