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Finding the Third Proportional to 4.06 and 7.16

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Solution

The third proportional to 4.06 and 7.16 is: 12.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.06 : 7.16 = 7.16 : x
  2. Step 2: Convert to fraction form
    4.06/7.16 = 7.16/x
  3. Step 3: Cross multiply
    4.06x = 7.16 × 7.16
  4. Step 4: Simplify right side
    4.06x = 51.21
  5. Step 5: Solve for x
    x = 51.21/4.06
  6. Step 6: Final answer
    x = 12.61

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.