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Finding the Third Proportional to 32.91 and 49.85

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Solution

The third proportional to 32.91 and 49.85 is: 75.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.91 : 49.85 = 49.85 : x
  2. Step 2: Convert to fraction form
    32.91/49.85 = 49.85/x
  3. Step 3: Cross multiply
    32.91x = 49.85 × 49.85
  4. Step 4: Simplify right side
    32.91x = 2,485.18
  5. Step 5: Solve for x
    x = 2,485.18/32.91
  6. Step 6: Final answer
    x = 75.52

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Why These Related Problems?

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