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Finding the Third Proportional to 10.24 and 17.46

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Solution

The third proportional to 10.24 and 17.46 is: 29.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.24 : 17.46 = 17.46 : x
  2. Step 2: Convert to fraction form
    10.24/17.46 = 17.46/x
  3. Step 3: Cross multiply
    10.24x = 17.46 × 17.46
  4. Step 4: Simplify right side
    10.24x = 304.99
  5. Step 5: Solve for x
    x = 304.99/10.24
  6. Step 6: Final answer
    x = 29.78

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.