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Finding the Third Proportional to 22.73 and 32.37

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Solution

The third proportional to 22.73 and 32.37 is: 46.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.73 : 32.37 = 32.37 : x
  2. Step 2: Convert to fraction form
    22.73/32.37 = 32.37/x
  3. Step 3: Cross multiply
    22.73x = 32.37 × 32.37
  4. Step 4: Simplify right side
    22.73x = 1,047.52
  5. Step 5: Solve for x
    x = 1,047.52/22.73
  6. Step 6: Final answer
    x = 46.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.