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Finding the Third Proportional to 48.94 and 101.88

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Solution

The third proportional to 48.94 and 101.88 is: 212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.94 : 101.88 = 101.88 : x
  2. Step 2: Convert to fraction form
    48.94/101.88 = 101.88/x
  3. Step 3: Cross multiply
    48.94x = 101.88 × 101.88
  4. Step 4: Simplify right side
    48.94x = 10,378.52
  5. Step 5: Solve for x
    x = 10,378.52/48.94
  6. Step 6: Final answer
    x = 212.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.