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Finding the Third Proportional to 1,284.75 and 2,814.75

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Solution

The third proportional to 1,284.75 and 2,814.75 is: 6,166.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.75 : 2,814.75 = 2,814.75 : x
  2. Step 2: Convert to fraction form
    1,284.75/2,814.75 = 2,814.75/x
  3. Step 3: Cross multiply
    1,284.75x = 2,814.75 × 2,814.75
  4. Step 4: Simplify right side
    1,284.75x = 7,922,817.56
  5. Step 5: Solve for x
    x = 7,922,817.56/1,284.75
  6. Step 6: Final answer
    x = 6,166.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.