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Finding the Third Proportional to 47.50 and 96.63

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Solution

The third proportional to 47.50 and 96.63 is: 196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.50 : 96.63 = 96.63 : x
  2. Step 2: Convert to fraction form
    47.50/96.63 = 96.63/x
  3. Step 3: Cross multiply
    47.50x = 96.63 × 96.63
  4. Step 4: Simplify right side
    47.50x = 9,336.39
  5. Step 5: Solve for x
    x = 9,336.39/47.50
  6. Step 6: Final answer
    x = 196.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.