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Finding the Third Proportional to 2,814 and 6,052

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Solution

The third proportional to 2,814 and 6,052 is: 13,015.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814 : 6,052 = 6,052 : x
  2. Step 2: Convert to fraction form
    2,814/6,052 = 6,052/x
  3. Step 3: Cross multiply
    2,814x = 6,052 × 6,052
  4. Step 4: Simplify right side
    2,814x = 36,626,704
  5. Step 5: Solve for x
    x = 36,626,704/2,814
  6. Step 6: Final answer
    x = 13,015.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.