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Finding the Third Proportional to 3,749.50 and 8,205.13

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Solution

The third proportional to 3,749.50 and 8,205.13 is: 17,955.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.50 : 8,205.13 = 8,205.13 : x
  2. Step 2: Convert to fraction form
    3,749.50/8,205.13 = 8,205.13/x
  3. Step 3: Cross multiply
    3,749.50x = 8,205.13 × 8,205.13
  4. Step 4: Simplify right side
    3,749.50x = 67,324,076.27
  5. Step 5: Solve for x
    x = 67,324,076.27/3,749.50
  6. Step 6: Final answer
    x = 17,955.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.