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Finding the Third Proportional to 5.94 and 8.44

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Solution

The third proportional to 5.94 and 8.44 is: 12.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.94 : 8.44 = 8.44 : x
  2. Step 2: Convert to fraction form
    5.94/8.44 = 8.44/x
  3. Step 3: Cross multiply
    5.94x = 8.44 × 8.44
  4. Step 4: Simplify right side
    5.94x = 71.21
  5. Step 5: Solve for x
    x = 71.21/5.94
  6. Step 6: Final answer
    x = 12.00

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.