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Finding the Third Proportional to 22.29 and 29.92

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Solution

The third proportional to 22.29 and 29.92 is: 40.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.29 : 29.92 = 29.92 : x
  2. Step 2: Convert to fraction form
    22.29/29.92 = 29.92/x
  3. Step 3: Cross multiply
    22.29x = 29.92 × 29.92
  4. Step 4: Simplify right side
    22.29x = 895.08
  5. Step 5: Solve for x
    x = 895.08/22.29
  6. Step 6: Final answer
    x = 40.16

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.