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Finding the Third Proportional to 48.94 and 76.78

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Solution

The third proportional to 48.94 and 76.78 is: 120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.94 : 76.78 = 76.78 : x
  2. Step 2: Convert to fraction form
    48.94/76.78 = 76.78/x
  3. Step 3: Cross multiply
    48.94x = 76.78 × 76.78
  4. Step 4: Simplify right side
    48.94x = 5,895.36
  5. Step 5: Solve for x
    x = 5,895.36/48.94
  6. Step 6: Final answer
    x = 120.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.