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Finding the Third Proportional to 51,933 and 84,793

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Solution

The third proportional to 51,933 and 84,793 is: 138,444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,933 : 84,793 = 84,793 : x
  2. Step 2: Convert to fraction form
    51,933/84,793 = 84,793/x
  3. Step 3: Cross multiply
    51,933x = 84,793 × 84,793
  4. Step 4: Simplify right side
    51,933x = 7,189,852,849
  5. Step 5: Solve for x
    x = 7,189,852,849/51,933
  6. Step 6: Final answer
    x = 138,444.78

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.