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Finding the Third Proportional to 48.72 and 101.92

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Solution

The third proportional to 48.72 and 101.92 is: 213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.72 : 101.92 = 101.92 : x
  2. Step 2: Convert to fraction form
    48.72/101.92 = 101.92/x
  3. Step 3: Cross multiply
    48.72x = 101.92 × 101.92
  4. Step 4: Simplify right side
    48.72x = 10,388.07
  5. Step 5: Solve for x
    x = 10,388.07/48.72
  6. Step 6: Final answer
    x = 213.23

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.