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Finding the Third Proportional to 17,390 and 27,659

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Solution

The third proportional to 17,390 and 27,659 is: 43,991.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,390 : 27,659 = 27,659 : x
  2. Step 2: Convert to fraction form
    17,390/27,659 = 27,659/x
  3. Step 3: Cross multiply
    17,390x = 27,659 × 27,659
  4. Step 4: Simplify right side
    17,390x = 765,020,281
  5. Step 5: Solve for x
    x = 765,020,281/17,390
  6. Step 6: Final answer
    x = 43,991.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.