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Finding the Third Proportional to 5.81 and 8.02

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Solution

The third proportional to 5.81 and 8.02 is: 11.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.81 : 8.02 = 8.02 : x
  2. Step 2: Convert to fraction form
    5.81/8.02 = 8.02/x
  3. Step 3: Cross multiply
    5.81x = 8.02 × 8.02
  4. Step 4: Simplify right side
    5.81x = 64.25
  5. Step 5: Solve for x
    x = 64.25/5.81
  6. Step 6: Final answer
    x = 11.05

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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.