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Finding the Third Proportional to 2,092 and 3,061

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Solution

The third proportional to 2,092 and 3,061 is: 4,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092 : 3,061 = 3,061 : x
  2. Step 2: Convert to fraction form
    2,092/3,061 = 3,061/x
  3. Step 3: Cross multiply
    2,092x = 3,061 × 3,061
  4. Step 4: Simplify right side
    2,092x = 9,369,721
  5. Step 5: Solve for x
    x = 9,369,721/2,092
  6. Step 6: Final answer
    x = 4,478.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.