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Finding the Third Proportional to 1,993.78 and 2,632.92

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Solution

The third proportional to 1,993.78 and 2,632.92 is: 3,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.78 : 2,632.92 = 2,632.92 : x
  2. Step 2: Convert to fraction form
    1,993.78/2,632.92 = 2,632.92/x
  3. Step 3: Cross multiply
    1,993.78x = 2,632.92 × 2,632.92
  4. Step 4: Simplify right side
    1,993.78x = 6,932,277.60
  5. Step 5: Solve for x
    x = 6,932,277.60/1,993.78
  6. Step 6: Final answer
    x = 3,476.95

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.