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Finding the Third Proportional to 5,440.92 and 8,205.05

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Solution

The third proportional to 5,440.92 and 8,205.05 is: 12,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,440.92 : 8,205.05 = 8,205.05 : x
  2. Step 2: Convert to fraction form
    5,440.92/8,205.05 = 8,205.05/x
  3. Step 3: Cross multiply
    5,440.92x = 8,205.05 × 8,205.05
  4. Step 4: Simplify right side
    5,440.92x = 67,322,794.22
  5. Step 5: Solve for x
    x = 67,322,794.22/5,440.92
  6. Step 6: Final answer
    x = 12,373.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.