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Finding the Third Proportional to 20,766 and 36,177

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Solution

The third proportional to 20,766 and 36,177 is: 63,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,766 : 36,177 = 36,177 : x
  2. Step 2: Convert to fraction form
    20,766/36,177 = 36,177/x
  3. Step 3: Cross multiply
    20,766x = 36,177 × 36,177
  4. Step 4: Simplify right side
    20,766x = 1,308,775,329
  5. Step 5: Solve for x
    x = 1,308,775,329/20,766
  6. Step 6: Final answer
    x = 63,024.91

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.