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Finding the Third Proportional to 9,923 and 21,853

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Solution

The third proportional to 9,923 and 21,853 is: 48,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923 : 21,853 = 21,853 : x
  2. Step 2: Convert to fraction form
    9,923/21,853 = 21,853/x
  3. Step 3: Cross multiply
    9,923x = 21,853 × 21,853
  4. Step 4: Simplify right side
    9,923x = 477,553,609
  5. Step 5: Solve for x
    x = 477,553,609/9,923
  6. Step 6: Final answer
    x = 48,125.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.