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Finding the Third Proportional to 7,331.44 and 16,120.78

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Solution

The third proportional to 7,331.44 and 16,120.78 is: 35,447.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,331.44 : 16,120.78 = 16,120.78 : x
  2. Step 2: Convert to fraction form
    7,331.44/16,120.78 = 16,120.78/x
  3. Step 3: Cross multiply
    7,331.44x = 16,120.78 × 16,120.78
  4. Step 4: Simplify right side
    7,331.44x = 259,879,588.11
  5. Step 5: Solve for x
    x = 259,879,588.11/7,331.44
  6. Step 6: Final answer
    x = 35,447.29

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Why These Related Problems?

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