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Finding the Third Proportional to 2.55 and 6.02

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Solution

The third proportional to 2.55 and 6.02 is: 14.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.55 : 6.02 = 6.02 : x
  2. Step 2: Convert to fraction form
    2.55/6.02 = 6.02/x
  3. Step 3: Cross multiply
    2.55x = 6.02 × 6.02
  4. Step 4: Simplify right side
    2.55x = 36.19
  5. Step 5: Solve for x
    x = 36.19/2.55
  6. Step 6: Final answer
    x = 14.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.