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Finding the Third Proportional to 48.88 and 73.94

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Solution

The third proportional to 48.88 and 73.94 is: 111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.88 : 73.94 = 73.94 : x
  2. Step 2: Convert to fraction form
    48.88/73.94 = 73.94/x
  3. Step 3: Cross multiply
    48.88x = 73.94 × 73.94
  4. Step 4: Simplify right side
    48.88x = 5,466.75
  5. Step 5: Solve for x
    x = 5,466.75/48.88
  6. Step 6: Final answer
    x = 111.85

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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.