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Finding the Third Proportional to 22,728 and 36,180

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Solution

The third proportional to 22,728 and 36,180 is: 57,593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,728 : 36,180 = 36,180 : x
  2. Step 2: Convert to fraction form
    22,728/36,180 = 36,180/x
  3. Step 3: Cross multiply
    22,728x = 36,180 × 36,180
  4. Step 4: Simplify right side
    22,728x = 1,308,992,400
  5. Step 5: Solve for x
    x = 1,308,992,400/22,728
  6. Step 6: Final answer
    x = 57,593.82

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1.5x scale

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.