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Finding the Third Proportional to 2,408.06 and 2,894.06

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Solution

The third proportional to 2,408.06 and 2,894.06 is: 3,478.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.06 : 2,894.06 = 2,894.06 : x
  2. Step 2: Convert to fraction form
    2,408.06/2,894.06 = 2,894.06/x
  3. Step 3: Cross multiply
    2,408.06x = 2,894.06 × 2,894.06
  4. Step 4: Simplify right side
    2,408.06x = 8,375,597.75
  5. Step 5: Solve for x
    x = 8,375,597.75/2,408.06
  6. Step 6: Final answer
    x = 3,478.15

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.