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Finding the Third Proportional to 4,244.06 and 8,078.06

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Solution

The third proportional to 4,244.06 and 8,078.06 is: 15,375.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,244.06 : 8,078.06 = 8,078.06 : x
  2. Step 2: Convert to fraction form
    4,244.06/8,078.06 = 8,078.06/x
  3. Step 3: Cross multiply
    4,244.06x = 8,078.06 × 8,078.06
  4. Step 4: Simplify right side
    4,244.06x = 65,255,093.75
  5. Step 5: Solve for x
    x = 65,255,093.75/4,244.06
  6. Step 6: Final answer
    x = 15,375.62

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.