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Finding the Third Proportional to 2,758 and 5,785

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Solution

The third proportional to 2,758 and 5,785 is: 12,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758 : 5,785 = 5,785 : x
  2. Step 2: Convert to fraction form
    2,758/5,785 = 5,785/x
  3. Step 3: Cross multiply
    2,758x = 5,785 × 5,785
  4. Step 4: Simplify right side
    2,758x = 33,466,225
  5. Step 5: Solve for x
    x = 33,466,225/2,758
  6. Step 6: Final answer
    x = 12,134.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.