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Finding the Third Proportional to 32,234 and 50,016

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Solution

The third proportional to 32,234 and 50,016 is: 77,607.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,234 : 50,016 = 50,016 : x
  2. Step 2: Convert to fraction form
    32,234/50,016 = 50,016/x
  3. Step 3: Cross multiply
    32,234x = 50,016 × 50,016
  4. Step 4: Simplify right side
    32,234x = 2,501,600,256
  5. Step 5: Solve for x
    x = 2,501,600,256/32,234
  6. Step 6: Final answer
    x = 77,607.50

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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.