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Finding the Third Proportional to 10.24 and 19.75

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Solution

The third proportional to 10.24 and 19.75 is: 38.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.24 : 19.75 = 19.75 : x
  2. Step 2: Convert to fraction form
    10.24/19.75 = 19.75/x
  3. Step 3: Cross multiply
    10.24x = 19.75 × 19.75
  4. Step 4: Simplify right side
    10.24x = 390.05
  5. Step 5: Solve for x
    x = 390.05/10.24
  6. Step 6: Final answer
    x = 38.09

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.