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Finding the Third Proportional to 17,943 and 27,939

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Solution

The third proportional to 17,943 and 27,939 is: 43,503.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,943 : 27,939 = 27,939 : x
  2. Step 2: Convert to fraction form
    17,943/27,939 = 27,939/x
  3. Step 3: Cross multiply
    17,943x = 27,939 × 27,939
  4. Step 4: Simplify right side
    17,943x = 780,587,721
  5. Step 5: Solve for x
    x = 780,587,721/17,943
  6. Step 6: Final answer
    x = 43,503.75

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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.