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Finding the Third Proportional to 1,284.68 and 2,751.61

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Solution

The third proportional to 1,284.68 and 2,751.61 is: 5,893.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.68 : 2,751.61 = 2,751.61 : x
  2. Step 2: Convert to fraction form
    1,284.68/2,751.61 = 2,751.61/x
  3. Step 3: Cross multiply
    1,284.68x = 2,751.61 × 2,751.61
  4. Step 4: Simplify right side
    1,284.68x = 7,571,354.15
  5. Step 5: Solve for x
    x = 7,571,354.15/1,284.68
  6. Step 6: Final answer
    x = 5,893.57

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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.