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Finding the Third Proportional to 32.27 and 48.73

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Solution

The third proportional to 32.27 and 48.73 is: 73.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.27 : 48.73 = 48.73 : x
  2. Step 2: Convert to fraction form
    32.27/48.73 = 48.73/x
  3. Step 3: Cross multiply
    32.27x = 48.73 × 48.73
  4. Step 4: Simplify right side
    32.27x = 2,374.28
  5. Step 5: Solve for x
    x = 2,374.28/32.27
  6. Step 6: Final answer
    x = 73.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.