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Finding the Third Proportional to 24 and 50.25

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Solution

The third proportional to 24 and 50.25 is: 105.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24 : 50.25 = 50.25 : x
  2. Step 2: Convert to fraction form
    24/50.25 = 50.25/x
  3. Step 3: Cross multiply
    24x = 50.25 × 50.25
  4. Step 4: Simplify right side
    24x = 2,525.06
  5. Step 5: Solve for x
    x = 2,525.06/24
  6. Step 6: Final answer
    x = 105.21

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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.