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Finding the Third Proportional to 32,823 and 50,919

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Solution

The third proportional to 32,823 and 50,919 is: 78,991.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,823 : 50,919 = 50,919 : x
  2. Step 2: Convert to fraction form
    32,823/50,919 = 50,919/x
  3. Step 3: Cross multiply
    32,823x = 50,919 × 50,919
  4. Step 4: Simplify right side
    32,823x = 2,592,744,561
  5. Step 5: Solve for x
    x = 2,592,744,561/32,823
  6. Step 6: Final answer
    x = 78,991.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.