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Finding the Third Proportional to 3,308.34 and 7,120.41

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Solution

The third proportional to 3,308.34 and 7,120.41 is: 15,324.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.34 : 7,120.41 = 7,120.41 : x
  2. Step 2: Convert to fraction form
    3,308.34/7,120.41 = 7,120.41/x
  3. Step 3: Cross multiply
    3,308.34x = 7,120.41 × 7,120.41
  4. Step 4: Simplify right side
    3,308.34x = 50,700,185.17
  5. Step 5: Solve for x
    x = 50,700,185.17/3,308.34
  6. Step 6: Final answer
    x = 15,324.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.