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Finding the Third Proportional to 17,802 and 27,899

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Solution

The third proportional to 17,802 and 27,899 is: 43,722.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802 : 27,899 = 27,899 : x
  2. Step 2: Convert to fraction form
    17,802/27,899 = 27,899/x
  3. Step 3: Cross multiply
    17,802x = 27,899 × 27,899
  4. Step 4: Simplify right side
    17,802x = 778,354,201
  5. Step 5: Solve for x
    x = 778,354,201/17,802
  6. Step 6: Final answer
    x = 43,722.85

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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.