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Finding the Third Proportional to 32,834 and 50,520

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Solution

The third proportional to 32,834 and 50,520 is: 77,732.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,834 : 50,520 = 50,520 : x
  2. Step 2: Convert to fraction form
    32,834/50,520 = 50,520/x
  3. Step 3: Cross multiply
    32,834x = 50,520 × 50,520
  4. Step 4: Simplify right side
    32,834x = 2,552,270,400
  5. Step 5: Solve for x
    x = 2,552,270,400/32,834
  6. Step 6: Final answer
    x = 77,732.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.