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Finding the Third Proportional to 2,051 and 2,769

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Solution

The third proportional to 2,051 and 2,769 is: 3,738.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051 : 2,769 = 2,769 : x
  2. Step 2: Convert to fraction form
    2,051/2,769 = 2,769/x
  3. Step 3: Cross multiply
    2,051x = 2,769 × 2,769
  4. Step 4: Simplify right side
    2,051x = 7,667,361
  5. Step 5: Solve for x
    x = 7,667,361/2,051
  6. Step 6: Final answer
    x = 3,738.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.