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Finding the Third Proportional to 7,409.60 and 13,174.52

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Solution

The third proportional to 7,409.60 and 13,174.52 is: 23,424.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.60 : 13,174.52 = 13,174.52 : x
  2. Step 2: Convert to fraction form
    7,409.60/13,174.52 = 13,174.52/x
  3. Step 3: Cross multiply
    7,409.60x = 13,174.52 × 13,174.52
  4. Step 4: Simplify right side
    7,409.60x = 173,568,067.81
  5. Step 5: Solve for x
    x = 173,568,067.81/7,409.60
  6. Step 6: Final answer
    x = 23,424.75

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.