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Finding the Third Proportional to 22,560 and 33,186

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Solution

The third proportional to 22,560 and 33,186 is: 48,816.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,560 : 33,186 = 33,186 : x
  2. Step 2: Convert to fraction form
    22,560/33,186 = 33,186/x
  3. Step 3: Cross multiply
    22,560x = 33,186 × 33,186
  4. Step 4: Simplify right side
    22,560x = 1,101,310,596
  5. Step 5: Solve for x
    x = 1,101,310,596/22,560
  6. Step 6: Final answer
    x = 48,816.96

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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.