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Finding the Third Proportional to 2,624.06 and 3,410.86

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Solution

The third proportional to 2,624.06 and 3,410.86 is: 4,433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.06 : 3,410.86 = 3,410.86 : x
  2. Step 2: Convert to fraction form
    2,624.06/3,410.86 = 3,410.86/x
  3. Step 3: Cross multiply
    2,624.06x = 3,410.86 × 3,410.86
  4. Step 4: Simplify right side
    2,624.06x = 11,633,961.68
  5. Step 5: Solve for x
    x = 11,633,961.68/2,624.06
  6. Step 6: Final answer
    x = 4,433.57

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.