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Finding the Third Proportional to 22.68 and 36.07

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Solution

The third proportional to 22.68 and 36.07 is: 57.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.68 : 36.07 = 36.07 : x
  2. Step 2: Convert to fraction form
    22.68/36.07 = 36.07/x
  3. Step 3: Cross multiply
    22.68x = 36.07 × 36.07
  4. Step 4: Simplify right side
    22.68x = 1,301.07
  5. Step 5: Solve for x
    x = 1,301.07/22.68
  6. Step 6: Final answer
    x = 57.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.