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Finding the Third Proportional to 20,047 and 43,853

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Solution

The third proportional to 20,047 and 43,853 is: 95,928.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047 : 43,853 = 43,853 : x
  2. Step 2: Convert to fraction form
    20,047/43,853 = 43,853/x
  3. Step 3: Cross multiply
    20,047x = 43,853 × 43,853
  4. Step 4: Simplify right side
    20,047x = 1,923,085,609
  5. Step 5: Solve for x
    x = 1,923,085,609/20,047
  6. Step 6: Final answer
    x = 95,928.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.