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Finding the Third Proportional to 2,814 and 6,007.75

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Solution

The third proportional to 2,814 and 6,007.75 is: 12,826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814 : 6,007.75 = 6,007.75 : x
  2. Step 2: Convert to fraction form
    2,814/6,007.75 = 6,007.75/x
  3. Step 3: Cross multiply
    2,814x = 6,007.75 × 6,007.75
  4. Step 4: Simplify right side
    2,814x = 36,093,060.06
  5. Step 5: Solve for x
    x = 36,093,060.06/2,814
  6. Step 6: Final answer
    x = 12,826.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.