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Finding the Third Proportional to 2.64 and 5.42

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Solution

The third proportional to 2.64 and 5.42 is: 11.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.64 : 5.42 = 5.42 : x
  2. Step 2: Convert to fraction form
    2.64/5.42 = 5.42/x
  3. Step 3: Cross multiply
    2.64x = 5.42 × 5.42
  4. Step 4: Simplify right side
    2.64x = 29.36
  5. Step 5: Solve for x
    x = 29.36/2.64
  6. Step 6: Final answer
    x = 11.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.