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Finding the Third Proportional to 4.02 and 4.49

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Solution

The third proportional to 4.02 and 4.49 is: 5.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.02 : 4.49 = 4.49 : x
  2. Step 2: Convert to fraction form
    4.02/4.49 = 4.49/x
  3. Step 3: Cross multiply
    4.02x = 4.49 × 4.49
  4. Step 4: Simplify right side
    4.02x = 20.18
  5. Step 5: Solve for x
    x = 20.18/4.02
  6. Step 6: Final answer
    x = 5.02

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.