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Finding the Third Proportional to 3,078 and 6,756

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Solution

The third proportional to 3,078 and 6,756 is: 14,828.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078 : 6,756 = 6,756 : x
  2. Step 2: Convert to fraction form
    3,078/6,756 = 6,756/x
  3. Step 3: Cross multiply
    3,078x = 6,756 × 6,756
  4. Step 4: Simplify right side
    3,078x = 45,643,536
  5. Step 5: Solve for x
    x = 45,643,536/3,078
  6. Step 6: Final answer
    x = 14,828.96

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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.