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Finding the Third Proportional to 48.75 and 104.81

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Solution

The third proportional to 48.75 and 104.81 is: 225.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.75 : 104.81 = 104.81 : x
  2. Step 2: Convert to fraction form
    48.75/104.81 = 104.81/x
  3. Step 3: Cross multiply
    48.75x = 104.81 × 104.81
  4. Step 4: Simplify right side
    48.75x = 10,985.66
  5. Step 5: Solve for x
    x = 10,985.66/48.75
  6. Step 6: Final answer
    x = 225.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.