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Finding the Third Proportional to 45.75 and 64.73

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Solution

The third proportional to 45.75 and 64.73 is: 91.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.75 : 64.73 = 64.73 : x
  2. Step 2: Convert to fraction form
    45.75/64.73 = 64.73/x
  3. Step 3: Cross multiply
    45.75x = 64.73 × 64.73
  4. Step 4: Simplify right side
    45.75x = 4,190.54
  5. Step 5: Solve for x
    x = 4,190.54/45.75
  6. Step 6: Final answer
    x = 91.60

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.