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Finding the Third Proportional to 9.48 and 22.26

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Solution

The third proportional to 9.48 and 22.26 is: 52.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.48 : 22.26 = 22.26 : x
  2. Step 2: Convert to fraction form
    9.48/22.26 = 22.26/x
  3. Step 3: Cross multiply
    9.48x = 22.26 × 22.26
  4. Step 4: Simplify right side
    9.48x = 495.73
  5. Step 5: Solve for x
    x = 495.73/9.48
  6. Step 6: Final answer
    x = 52.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.