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Finding the Third Proportional to 10.37 and 19.24

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Solution

The third proportional to 10.37 and 19.24 is: 35.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.37 : 19.24 = 19.24 : x
  2. Step 2: Convert to fraction form
    10.37/19.24 = 19.24/x
  3. Step 3: Cross multiply
    10.37x = 19.24 × 19.24
  4. Step 4: Simplify right side
    10.37x = 370.31
  5. Step 5: Solve for x
    x = 370.31/10.37
  6. Step 6: Final answer
    x = 35.71

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.