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Finding the Third Proportional to 22.36 and 48.05

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Solution

The third proportional to 22.36 and 48.05 is: 103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.36 : 48.05 = 48.05 : x
  2. Step 2: Convert to fraction form
    22.36/48.05 = 48.05/x
  3. Step 3: Cross multiply
    22.36x = 48.05 × 48.05
  4. Step 4: Simplify right side
    22.36x = 2,308.50
  5. Step 5: Solve for x
    x = 2,308.50/22.36
  6. Step 6: Final answer
    x = 103.25

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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.