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Finding the Third Proportional to 3,052.69 and 6,469.88

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Solution

The third proportional to 3,052.69 and 6,469.88 is: 13,712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.69 : 6,469.88 = 6,469.88 : x
  2. Step 2: Convert to fraction form
    3,052.69/6,469.88 = 6,469.88/x
  3. Step 3: Cross multiply
    3,052.69x = 6,469.88 × 6,469.88
  4. Step 4: Simplify right side
    3,052.69x = 41,859,282.52
  5. Step 5: Solve for x
    x = 41,859,282.52/3,052.69
  6. Step 6: Final answer
    x = 13,712.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.