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Finding the Third Proportional to 7,116 and 7,756

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Solution

The third proportional to 7,116 and 7,756 is: 8,453.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116 : 7,756 = 7,756 : x
  2. Step 2: Convert to fraction form
    7,116/7,756 = 7,756/x
  3. Step 3: Cross multiply
    7,116x = 7,756 × 7,756
  4. Step 4: Simplify right side
    7,116x = 60,155,536
  5. Step 5: Solve for x
    x = 60,155,536/7,116
  6. Step 6: Final answer
    x = 8,453.56

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.