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Finding the Third Proportional to 3.42 and 9.02

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Solution

The third proportional to 3.42 and 9.02 is: 23.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.42 : 9.02 = 9.02 : x
  2. Step 2: Convert to fraction form
    3.42/9.02 = 9.02/x
  3. Step 3: Cross multiply
    3.42x = 9.02 × 9.02
  4. Step 4: Simplify right side
    3.42x = 81.34
  5. Step 5: Solve for x
    x = 81.34/3.42
  6. Step 6: Final answer
    x = 23.75

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.