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Finding the Third Proportional to 2,081 and 2,927

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Solution

The third proportional to 2,081 and 2,927 is: 4,116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081 : 2,927 = 2,927 : x
  2. Step 2: Convert to fraction form
    2,081/2,927 = 2,927/x
  3. Step 3: Cross multiply
    2,081x = 2,927 × 2,927
  4. Step 4: Simplify right side
    2,081x = 8,567,329
  5. Step 5: Solve for x
    x = 8,567,329/2,081
  6. Step 6: Final answer
    x = 4,116.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.