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Finding the Third Proportional to 2,741 and 5,068

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Solution

The third proportional to 2,741 and 5,068 is: 9,370.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741 : 5,068 = 5,068 : x
  2. Step 2: Convert to fraction form
    2,741/5,068 = 5,068/x
  3. Step 3: Cross multiply
    2,741x = 5,068 × 5,068
  4. Step 4: Simplify right side
    2,741x = 25,684,624
  5. Step 5: Solve for x
    x = 25,684,624/2,741
  6. Step 6: Final answer
    x = 9,370.53

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.