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Finding the Third Proportional to 48.73 and 73.41

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Solution

The third proportional to 48.73 and 73.41 is: 110.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.73 : 73.41 = 73.41 : x
  2. Step 2: Convert to fraction form
    48.73/73.41 = 73.41/x
  3. Step 3: Cross multiply
    48.73x = 73.41 × 73.41
  4. Step 4: Simplify right side
    48.73x = 5,388.48
  5. Step 5: Solve for x
    x = 5,388.48/48.73
  6. Step 6: Final answer
    x = 110.59

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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.