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Finding the Third Proportional to 4.02 and 4.33

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Solution

The third proportional to 4.02 and 4.33 is: 4.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.02 : 4.33 = 4.33 : x
  2. Step 2: Convert to fraction form
    4.02/4.33 = 4.33/x
  3. Step 3: Cross multiply
    4.02x = 4.33 × 4.33
  4. Step 4: Simplify right side
    4.02x = 18.74
  5. Step 5: Solve for x
    x = 18.74/4.02
  6. Step 6: Final answer
    x = 4.66

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.