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Finding the Third Proportional to 22.96 and 33.64

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Solution

The third proportional to 22.96 and 33.64 is: 49.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.96 : 33.64 = 33.64 : x
  2. Step 2: Convert to fraction form
    22.96/33.64 = 33.64/x
  3. Step 3: Cross multiply
    22.96x = 33.64 × 33.64
  4. Step 4: Simplify right side
    22.96x = 1,131.51
  5. Step 5: Solve for x
    x = 1,131.51/22.96
  6. Step 6: Final answer
    x = 49.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.