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Finding the Third Proportional to 2,416 and 2,626

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Solution

The third proportional to 2,416 and 2,626 is: 2,854.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416 : 2,626 = 2,626 : x
  2. Step 2: Convert to fraction form
    2,416/2,626 = 2,626/x
  3. Step 3: Cross multiply
    2,416x = 2,626 × 2,626
  4. Step 4: Simplify right side
    2,416x = 6,895,876
  5. Step 5: Solve for x
    x = 6,895,876/2,416
  6. Step 6: Final answer
    x = 2,854.25

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.