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Finding the Third Proportional to 935.46 and 1,979.83

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Solution

The third proportional to 935.46 and 1,979.83 is: 4,190.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.46 : 1,979.83 = 1,979.83 : x
  2. Step 2: Convert to fraction form
    935.46/1,979.83 = 1,979.83/x
  3. Step 3: Cross multiply
    935.46x = 1,979.83 × 1,979.83
  4. Step 4: Simplify right side
    935.46x = 3,919,738.74
  5. Step 5: Solve for x
    x = 3,919,738.74/935.46
  6. Step 6: Final answer
    x = 4,190.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.