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Finding the Third Proportional to 27,588 and 43,839

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Solution

The third proportional to 27,588 and 43,839 is: 69,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,588 : 43,839 = 43,839 : x
  2. Step 2: Convert to fraction form
    27,588/43,839 = 43,839/x
  3. Step 3: Cross multiply
    27,588x = 43,839 × 43,839
  4. Step 4: Simplify right side
    27,588x = 1,921,857,921
  5. Step 5: Solve for x
    x = 1,921,857,921/27,588
  6. Step 6: Final answer
    x = 69,662.82

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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.