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Finding the Third Proportional to 6.19 and 10.83

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Solution

The third proportional to 6.19 and 10.83 is: 18.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.19 : 10.83 = 10.83 : x
  2. Step 2: Convert to fraction form
    6.19/10.83 = 10.83/x
  3. Step 3: Cross multiply
    6.19x = 10.83 × 10.83
  4. Step 4: Simplify right side
    6.19x = 117.25
  5. Step 5: Solve for x
    x = 117.25/6.19
  6. Step 6: Final answer
    x = 18.95

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.