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Finding the Third Proportional to 23,689 and 54,847

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Solution

The third proportional to 23,689 and 54,847 is: 126,986.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,689 : 54,847 = 54,847 : x
  2. Step 2: Convert to fraction form
    23,689/54,847 = 54,847/x
  3. Step 3: Cross multiply
    23,689x = 54,847 × 54,847
  4. Step 4: Simplify right side
    23,689x = 3,008,193,409
  5. Step 5: Solve for x
    x = 3,008,193,409/23,689
  6. Step 6: Final answer
    x = 126,986.93

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.