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Finding the Third Proportional to 4.02 and 5.54

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Solution

The third proportional to 4.02 and 5.54 is: 7.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.02 : 5.54 = 5.54 : x
  2. Step 2: Convert to fraction form
    4.02/5.54 = 5.54/x
  3. Step 3: Cross multiply
    4.02x = 5.54 × 5.54
  4. Step 4: Simplify right side
    4.02x = 30.74
  5. Step 5: Solve for x
    x = 30.74/4.02
  6. Step 6: Final answer
    x = 7.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.