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Finding the Third Proportional to 48 and 92.44

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Solution

The third proportional to 48 and 92.44 is: 178.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48 : 92.44 = 92.44 : x
  2. Step 2: Convert to fraction form
    48/92.44 = 92.44/x
  3. Step 3: Cross multiply
    48x = 92.44 × 92.44
  4. Step 4: Simplify right side
    48x = 8,544.69
  5. Step 5: Solve for x
    x = 8,544.69/48
  6. Step 6: Final answer
    x = 178.01

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.