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Finding the Third Proportional to 49.89 and 74.99

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Solution

The third proportional to 49.89 and 74.99 is: 112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.89 : 74.99 = 74.99 : x
  2. Step 2: Convert to fraction form
    49.89/74.99 = 74.99/x
  3. Step 3: Cross multiply
    49.89x = 74.99 × 74.99
  4. Step 4: Simplify right side
    49.89x = 5,623.24
  5. Step 5: Solve for x
    x = 5,623.24/49.89
  6. Step 6: Final answer
    x = 112.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.