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Finding the Third Proportional to 20,834 and 32,275

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Solution

The third proportional to 20,834 and 32,275 is: 49,998.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,834 : 32,275 = 32,275 : x
  2. Step 2: Convert to fraction form
    20,834/32,275 = 32,275/x
  3. Step 3: Cross multiply
    20,834x = 32,275 × 32,275
  4. Step 4: Simplify right side
    20,834x = 1,041,675,625
  5. Step 5: Solve for x
    x = 1,041,675,625/20,834
  6. Step 6: Final answer
    x = 49,998.83

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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.