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Finding the Third Proportional to 3,493.44 and 5,192.69

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Solution

The third proportional to 3,493.44 and 5,192.69 is: 7,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.44 : 5,192.69 = 5,192.69 : x
  2. Step 2: Convert to fraction form
    3,493.44/5,192.69 = 5,192.69/x
  3. Step 3: Cross multiply
    3,493.44x = 5,192.69 × 5,192.69
  4. Step 4: Simplify right side
    3,493.44x = 26,964,003.47
  5. Step 5: Solve for x
    x = 26,964,003.47/3,493.44
  6. Step 6: Final answer
    x = 7,718.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.