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Finding the Third Proportional to 3,284.30 and 7,029.70

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Solution

The third proportional to 3,284.30 and 7,029.70 is: 15,046.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.30 : 7,029.70 = 7,029.70 : x
  2. Step 2: Convert to fraction form
    3,284.30/7,029.70 = 7,029.70/x
  3. Step 3: Cross multiply
    3,284.30x = 7,029.70 × 7,029.70
  4. Step 4: Simplify right side
    3,284.30x = 49,416,726.03
  5. Step 5: Solve for x
    x = 49,416,726.03/3,284.30
  6. Step 6: Final answer
    x = 15,046.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.