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Finding the Third Proportional to 5,951.60 and 13,078.34

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Solution

The third proportional to 5,951.60 and 13,078.34 is: 28,738.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.60 : 13,078.34 = 13,078.34 : x
  2. Step 2: Convert to fraction form
    5,951.60/13,078.34 = 13,078.34/x
  3. Step 3: Cross multiply
    5,951.60x = 13,078.34 × 13,078.34
  4. Step 4: Simplify right side
    5,951.60x = 171,042,870.89
  5. Step 5: Solve for x
    x = 171,042,870.89/5,951.60
  6. Step 6: Final answer
    x = 28,738.97

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.