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Finding the Third Proportional to 1,284.75 and 2,800.69

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Solution

The third proportional to 1,284.75 and 2,800.69 is: 6,105.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.75 : 2,800.69 = 2,800.69 : x
  2. Step 2: Convert to fraction form
    1,284.75/2,800.69 = 2,800.69/x
  3. Step 3: Cross multiply
    1,284.75x = 2,800.69 × 2,800.69
  4. Step 4: Simplify right side
    1,284.75x = 7,843,850.47
  5. Step 5: Solve for x
    x = 7,843,850.47/1,284.75
  6. Step 6: Final answer
    x = 6,105.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.