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Finding the Third Proportional to 22.57 and 35.23

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Solution

The third proportional to 22.57 and 35.23 is: 54.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.57 : 35.23 = 35.23 : x
  2. Step 2: Convert to fraction form
    22.57/35.23 = 35.23/x
  3. Step 3: Cross multiply
    22.57x = 35.23 × 35.23
  4. Step 4: Simplify right side
    22.57x = 1,240.91
  5. Step 5: Solve for x
    x = 1,240.91/22.57
  6. Step 6: Final answer
    x = 54.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.