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Finding the Third Proportional to 5.94 and 15.42

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Solution

The third proportional to 5.94 and 15.42 is: 40.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.94 : 15.42 = 15.42 : x
  2. Step 2: Convert to fraction form
    5.94/15.42 = 15.42/x
  3. Step 3: Cross multiply
    5.94x = 15.42 × 15.42
  4. Step 4: Simplify right side
    5.94x = 237.78
  5. Step 5: Solve for x
    x = 237.78/5.94
  6. Step 6: Final answer
    x = 40.05

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.