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Finding the Third Proportional to 992.95 and 1,960.97

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Solution

The third proportional to 992.95 and 1,960.97 is: 3,872.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.95 : 1,960.97 = 1,960.97 : x
  2. Step 2: Convert to fraction form
    992.95/1,960.97 = 1,960.97/x
  3. Step 3: Cross multiply
    992.95x = 1,960.97 × 1,960.97
  4. Step 4: Simplify right side
    992.95x = 3,845,398.44
  5. Step 5: Solve for x
    x = 3,845,398.44/992.95
  6. Step 6: Final answer
    x = 3,872.69

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.