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Finding the Third Proportional to 22.94 and 36.08

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Solution

The third proportional to 22.94 and 36.08 is: 56.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.94 : 36.08 = 36.08 : x
  2. Step 2: Convert to fraction form
    22.94/36.08 = 36.08/x
  3. Step 3: Cross multiply
    22.94x = 36.08 × 36.08
  4. Step 4: Simplify right side
    22.94x = 1,301.42
  5. Step 5: Solve for x
    x = 1,301.42/22.94
  6. Step 6: Final answer
    x = 56.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.