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Finding the Third Proportional to 2,659 and 5,785

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Solution

The third proportional to 2,659 and 5,785 is: 12,586.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659 : 5,785 = 5,785 : x
  2. Step 2: Convert to fraction form
    2,659/5,785 = 5,785/x
  3. Step 3: Cross multiply
    2,659x = 5,785 × 5,785
  4. Step 4: Simplify right side
    2,659x = 33,466,225
  5. Step 5: Solve for x
    x = 33,466,225/2,659
  6. Step 6: Final answer
    x = 12,586.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.