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Finding the Third Proportional to 4.16 and 7.09

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Solution

The third proportional to 4.16 and 7.09 is: 12.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.16 : 7.09 = 7.09 : x
  2. Step 2: Convert to fraction form
    4.16/7.09 = 7.09/x
  3. Step 3: Cross multiply
    4.16x = 7.09 × 7.09
  4. Step 4: Simplify right side
    4.16x = 50.25
  5. Step 5: Solve for x
    x = 50.25/4.16
  6. Step 6: Final answer
    x = 12.09

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.