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Finding the Third Proportional to 10.14 and 22.27

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Solution

The third proportional to 10.14 and 22.27 is: 48.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.14 : 22.27 = 22.27 : x
  2. Step 2: Convert to fraction form
    10.14/22.27 = 22.27/x
  3. Step 3: Cross multiply
    10.14x = 22.27 × 22.27
  4. Step 4: Simplify right side
    10.14x = 495.76
  5. Step 5: Solve for x
    x = 495.76/10.14
  6. Step 6: Final answer
    x = 48.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.