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Finding the Third Proportional to 5,110 and 7,756

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Solution

The third proportional to 5,110 and 7,756 is: 11,772.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,110 : 7,756 = 7,756 : x
  2. Step 2: Convert to fraction form
    5,110/7,756 = 7,756/x
  3. Step 3: Cross multiply
    5,110x = 7,756 × 7,756
  4. Step 4: Simplify right side
    5,110x = 60,155,536
  5. Step 5: Solve for x
    x = 60,155,536/5,110
  6. Step 6: Final answer
    x = 11,772.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.