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Finding the Third Proportional to 17,856 and 27,739

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Solution

The third proportional to 17,856 and 27,739 is: 43,092.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856 : 27,739 = 27,739 : x
  2. Step 2: Convert to fraction form
    17,856/27,739 = 27,739/x
  3. Step 3: Cross multiply
    17,856x = 27,739 × 27,739
  4. Step 4: Simplify right side
    17,856x = 769,452,121
  5. Step 5: Solve for x
    x = 769,452,121/17,856
  6. Step 6: Final answer
    x = 43,092.08

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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.