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Finding the Third Proportional to 935.44 and 2,305.13

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Solution

The third proportional to 935.44 and 2,305.13 is: 5,680.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.44 : 2,305.13 = 2,305.13 : x
  2. Step 2: Convert to fraction form
    935.44/2,305.13 = 2,305.13/x
  3. Step 3: Cross multiply
    935.44x = 2,305.13 × 2,305.13
  4. Step 4: Simplify right side
    935.44x = 5,313,601.27
  5. Step 5: Solve for x
    x = 5,313,601.27/935.44
  6. Step 6: Final answer
    x = 5,680.34

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.