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Finding the Third Proportional to 3,617.79 and 7,336.20

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Solution

The third proportional to 3,617.79 and 7,336.20 is: 14,876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.79 : 7,336.20 = 7,336.20 : x
  2. Step 2: Convert to fraction form
    3,617.79/7,336.20 = 7,336.20/x
  3. Step 3: Cross multiply
    3,617.79x = 7,336.20 × 7,336.20
  4. Step 4: Simplify right side
    3,617.79x = 53,819,761.66
  5. Step 5: Solve for x
    x = 53,819,761.66/3,617.79
  6. Step 6: Final answer
    x = 14,876.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.