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Finding the Third Proportional to 41.50 and 97.63

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Solution

The third proportional to 41.50 and 97.63 is: 229.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.50 : 97.63 = 97.63 : x
  2. Step 2: Convert to fraction form
    41.50/97.63 = 97.63/x
  3. Step 3: Cross multiply
    41.50x = 97.63 × 97.63
  4. Step 4: Simplify right side
    41.50x = 9,530.64
  5. Step 5: Solve for x
    x = 9,530.64/41.50
  6. Step 6: Final answer
    x = 229.65

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.