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Finding the Third Proportional to 33.13 and 45.88

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Solution

The third proportional to 33.13 and 45.88 is: 63.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.13 : 45.88 = 45.88 : x
  2. Step 2: Convert to fraction form
    33.13/45.88 = 45.88/x
  3. Step 3: Cross multiply
    33.13x = 45.88 × 45.88
  4. Step 4: Simplify right side
    33.13x = 2,104.52
  5. Step 5: Solve for x
    x = 2,104.52/33.13
  6. Step 6: Final answer
    x = 63.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.