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Finding the Third Proportional to 5.06 and 7.11

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Solution

The third proportional to 5.06 and 7.11 is: 9.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.06 : 7.11 = 7.11 : x
  2. Step 2: Convert to fraction form
    5.06/7.11 = 7.11/x
  3. Step 3: Cross multiply
    5.06x = 7.11 × 7.11
  4. Step 4: Simplify right side
    5.06x = 50.54
  5. Step 5: Solve for x
    x = 50.54/5.06
  6. Step 6: Final answer
    x = 9.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.