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Finding the Third Proportional to 2,069.93 and 3,197.92

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Solution

The third proportional to 2,069.93 and 3,197.92 is: 4,940.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.93 : 3,197.92 = 3,197.92 : x
  2. Step 2: Convert to fraction form
    2,069.93/3,197.92 = 3,197.92/x
  3. Step 3: Cross multiply
    2,069.93x = 3,197.92 × 3,197.92
  4. Step 4: Simplify right side
    2,069.93x = 10,226,679.33
  5. Step 5: Solve for x
    x = 10,226,679.33/2,069.93
  6. Step 6: Final answer
    x = 4,940.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.