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Finding the Third Proportional to 3,498 and 6,500

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Solution

The third proportional to 3,498 and 6,500 is: 12,078.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498 : 6,500 = 6,500 : x
  2. Step 2: Convert to fraction form
    3,498/6,500 = 6,500/x
  3. Step 3: Cross multiply
    3,498x = 6,500 × 6,500
  4. Step 4: Simplify right side
    3,498x = 42,250,000
  5. Step 5: Solve for x
    x = 42,250,000/3,498
  6. Step 6: Final answer
    x = 12,078.33

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.