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Finding the Third Proportional to 32.88 and 44.94

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Solution

The third proportional to 32.88 and 44.94 is: 61.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.88 : 44.94 = 44.94 : x
  2. Step 2: Convert to fraction form
    32.88/44.94 = 44.94/x
  3. Step 3: Cross multiply
    32.88x = 44.94 × 44.94
  4. Step 4: Simplify right side
    32.88x = 2,019.38
  5. Step 5: Solve for x
    x = 2,019.38/32.88
  6. Step 6: Final answer
    x = 61.43

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.