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Finding the Third Proportional to 2,764 and 3,061

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Solution

The third proportional to 2,764 and 3,061 is: 3,389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764 : 3,061 = 3,061 : x
  2. Step 2: Convert to fraction form
    2,764/3,061 = 3,061/x
  3. Step 3: Cross multiply
    2,764x = 3,061 × 3,061
  4. Step 4: Simplify right side
    2,764x = 9,369,721
  5. Step 5: Solve for x
    x = 9,369,721/2,764
  6. Step 6: Final answer
    x = 3,389.91

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.