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Finding the Third Proportional to 32.75 and 49.83

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Solution

The third proportional to 32.75 and 49.83 is: 75.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.75 : 49.83 = 49.83 : x
  2. Step 2: Convert to fraction form
    32.75/49.83 = 49.83/x
  3. Step 3: Cross multiply
    32.75x = 49.83 × 49.83
  4. Step 4: Simplify right side
    32.75x = 2,483.43
  5. Step 5: Solve for x
    x = 2,483.43/32.75
  6. Step 6: Final answer
    x = 75.83

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.