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Finding the Third Proportional to 10.10 and 13.86

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Solution

The third proportional to 10.10 and 13.86 is: 19.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.10 : 13.86 = 13.86 : x
  2. Step 2: Convert to fraction form
    10.10/13.86 = 13.86/x
  3. Step 3: Cross multiply
    10.10x = 13.86 × 13.86
  4. Step 4: Simplify right side
    10.10x = 191.99
  5. Step 5: Solve for x
    x = 191.99/10.10
  6. Step 6: Final answer
    x = 19.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.