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Finding the Third Proportional to 10.14 and 18.77

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Solution

The third proportional to 10.14 and 18.77 is: 34.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.14 : 18.77 = 18.77 : x
  2. Step 2: Convert to fraction form
    10.14/18.77 = 18.77/x
  3. Step 3: Cross multiply
    10.14x = 18.77 × 18.77
  4. Step 4: Simplify right side
    10.14x = 352.44
  5. Step 5: Solve for x
    x = 352.44/10.14
  6. Step 6: Final answer
    x = 34.76

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.