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Finding the Third Proportional to 45.95 and 96.73

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Solution

The third proportional to 45.95 and 96.73 is: 203.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.95 : 96.73 = 96.73 : x
  2. Step 2: Convert to fraction form
    45.95/96.73 = 96.73/x
  3. Step 3: Cross multiply
    45.95x = 96.73 × 96.73
  4. Step 4: Simplify right side
    45.95x = 9,357.16
  5. Step 5: Solve for x
    x = 9,357.16/45.95
  6. Step 6: Final answer
    x = 203.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.