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Finding the Third Proportional to 2,277 and 4,965

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Solution

The third proportional to 2,277 and 4,965 is: 10,826.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277 : 4,965 = 4,965 : x
  2. Step 2: Convert to fraction form
    2,277/4,965 = 4,965/x
  3. Step 3: Cross multiply
    2,277x = 4,965 × 4,965
  4. Step 4: Simplify right side
    2,277x = 24,651,225
  5. Step 5: Solve for x
    x = 24,651,225/2,277
  6. Step 6: Final answer
    x = 10,826.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.