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Finding the Third Proportional to 17,750 and 27,844

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Solution

The third proportional to 17,750 and 27,844 is: 43,678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,750 : 27,844 = 27,844 : x
  2. Step 2: Convert to fraction form
    17,750/27,844 = 27,844/x
  3. Step 3: Cross multiply
    17,750x = 27,844 × 27,844
  4. Step 4: Simplify right side
    17,750x = 775,288,336
  5. Step 5: Solve for x
    x = 775,288,336/17,750
  6. Step 6: Final answer
    x = 43,678.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.