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Finding the Third Proportional to 48.25 and 99.25

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Solution

The third proportional to 48.25 and 99.25 is: 204.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.25 : 99.25 = 99.25 : x
  2. Step 2: Convert to fraction form
    48.25/99.25 = 99.25/x
  3. Step 3: Cross multiply
    48.25x = 99.25 × 99.25
  4. Step 4: Simplify right side
    48.25x = 9,850.56
  5. Step 5: Solve for x
    x = 9,850.56/48.25
  6. Step 6: Final answer
    x = 204.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.