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Finding the Third Proportional to 10.19 and 11.75

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Solution

The third proportional to 10.19 and 11.75 is: 13.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.19 : 11.75 = 11.75 : x
  2. Step 2: Convert to fraction form
    10.19/11.75 = 11.75/x
  3. Step 3: Cross multiply
    10.19x = 11.75 × 11.75
  4. Step 4: Simplify right side
    10.19x = 138.06
  5. Step 5: Solve for x
    x = 138.06/10.19
  6. Step 6: Final answer
    x = 13.55

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.