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Finding the Third Proportional to 2,542 and 6,841

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Solution

The third proportional to 2,542 and 6,841 is: 18,410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542 : 6,841 = 6,841 : x
  2. Step 2: Convert to fraction form
    2,542/6,841 = 6,841/x
  3. Step 3: Cross multiply
    2,542x = 6,841 × 6,841
  4. Step 4: Simplify right side
    2,542x = 46,799,281
  5. Step 5: Solve for x
    x = 46,799,281/2,542
  6. Step 6: Final answer
    x = 18,410.42

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.