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Finding the Third Proportional to 4.17 and 7.19

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Solution

The third proportional to 4.17 and 7.19 is: 12.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.17 : 7.19 = 7.19 : x
  2. Step 2: Convert to fraction form
    4.17/7.19 = 7.19/x
  3. Step 3: Cross multiply
    4.17x = 7.19 × 7.19
  4. Step 4: Simplify right side
    4.17x = 51.73
  5. Step 5: Solve for x
    x = 51.73/4.17
  6. Step 6: Final answer
    x = 12.41

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.