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Finding the Third Proportional to 3,493.13 and 7,578.56

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Solution

The third proportional to 3,493.13 and 7,578.56 is: 16,442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.13 : 7,578.56 = 7,578.56 : x
  2. Step 2: Convert to fraction form
    3,493.13/7,578.56 = 7,578.56/x
  3. Step 3: Cross multiply
    3,493.13x = 7,578.56 × 7,578.56
  4. Step 4: Simplify right side
    3,493.13x = 57,434,609.57
  5. Step 5: Solve for x
    x = 57,434,609.57/3,493.13
  6. Step 6: Final answer
    x = 16,442.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.