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Finding the Third Proportional to 17,886 and 27,853

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Solution

The third proportional to 17,886 and 27,853 is: 43,374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,886 : 27,853 = 27,853 : x
  2. Step 2: Convert to fraction form
    17,886/27,853 = 27,853/x
  3. Step 3: Cross multiply
    17,886x = 27,853 × 27,853
  4. Step 4: Simplify right side
    17,886x = 775,789,609
  5. Step 5: Solve for x
    x = 775,789,609/17,886
  6. Step 6: Final answer
    x = 43,374.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.