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Finding the Third Proportional to 5,498 and 11,950

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Solution

The third proportional to 5,498 and 11,950 is: 25,973.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498 : 11,950 = 11,950 : x
  2. Step 2: Convert to fraction form
    5,498/11,950 = 11,950/x
  3. Step 3: Cross multiply
    5,498x = 11,950 × 11,950
  4. Step 4: Simplify right side
    5,498x = 142,802,500
  5. Step 5: Solve for x
    x = 142,802,500/5,498
  6. Step 6: Final answer
    x = 25,973.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.