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Finding the Third Proportional to 17,034 and 27,087

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Solution

The third proportional to 17,034 and 27,087 is: 43,073.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,034 : 27,087 = 27,087 : x
  2. Step 2: Convert to fraction form
    17,034/27,087 = 27,087/x
  3. Step 3: Cross multiply
    17,034x = 27,087 × 27,087
  4. Step 4: Simplify right side
    17,034x = 733,705,569
  5. Step 5: Solve for x
    x = 733,705,569/17,034
  6. Step 6: Final answer
    x = 43,073.01

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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.