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Finding the Third Proportional to 2.64 and 3.78

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Solution

The third proportional to 2.64 and 3.78 is: 5.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.64 : 3.78 = 3.78 : x
  2. Step 2: Convert to fraction form
    2.64/3.78 = 3.78/x
  3. Step 3: Cross multiply
    2.64x = 3.78 × 3.78
  4. Step 4: Simplify right side
    2.64x = 14.31
  5. Step 5: Solve for x
    x = 14.31/2.64
  6. Step 6: Final answer
    x = 5.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.