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Finding the Third Proportional to 41.65 and 90.24

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Solution

The third proportional to 41.65 and 90.24 is: 195.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.65 : 90.24 = 90.24 : x
  2. Step 2: Convert to fraction form
    41.65/90.24 = 90.24/x
  3. Step 3: Cross multiply
    41.65x = 90.24 × 90.24
  4. Step 4: Simplify right side
    41.65x = 8,142.37
  5. Step 5: Solve for x
    x = 8,142.37/41.65
  6. Step 6: Final answer
    x = 195.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.