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Finding the Third Proportional to 22,680 and 29,796.75

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Solution

The third proportional to 22,680 and 29,796.75 is: 39,146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,680 : 29,796.75 = 29,796.75 : x
  2. Step 2: Convert to fraction form
    22,680/29,796.75 = 29,796.75/x
  3. Step 3: Cross multiply
    22,680x = 29,796.75 × 29,796.75
  4. Step 4: Simplify right side
    22,680x = 887,846,310.56
  5. Step 5: Solve for x
    x = 887,846,310.56/22,680
  6. Step 6: Final answer
    x = 39,146.66

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.