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Finding the Third Proportional to 6,542 and 13,498

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Solution

The third proportional to 6,542 and 13,498 is: 27,850.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542 : 13,498 = 13,498 : x
  2. Step 2: Convert to fraction form
    6,542/13,498 = 13,498/x
  3. Step 3: Cross multiply
    6,542x = 13,498 × 13,498
  4. Step 4: Simplify right side
    6,542x = 182,196,004
  5. Step 5: Solve for x
    x = 182,196,004/6,542
  6. Step 6: Final answer
    x = 27,850.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.