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Finding the Third Proportional to 22.24 and 47.04

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Solution

The third proportional to 22.24 and 47.04 is: 99.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.24 : 47.04 = 47.04 : x
  2. Step 2: Convert to fraction form
    22.24/47.04 = 47.04/x
  3. Step 3: Cross multiply
    22.24x = 47.04 × 47.04
  4. Step 4: Simplify right side
    22.24x = 2,212.70
  5. Step 5: Solve for x
    x = 2,212.70/22.24
  6. Step 6: Final answer
    x = 99.51

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.