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Finding the Third Proportional to 930.95 and 1,996.92

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Solution

The third proportional to 930.95 and 1,996.92 is: 4,283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.95 : 1,996.92 = 1,996.92 : x
  2. Step 2: Convert to fraction form
    930.95/1,996.92 = 1,996.92/x
  3. Step 3: Cross multiply
    930.95x = 1,996.92 × 1,996.92
  4. Step 4: Simplify right side
    930.95x = 3,987,685.27
  5. Step 5: Solve for x
    x = 3,987,685.27/930.95
  6. Step 6: Final answer
    x = 4,283.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.