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Finding the Third Proportional to 32,849 and 50,731

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Solution

The third proportional to 32,849 and 50,731 is: 78,347.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,849 : 50,731 = 50,731 : x
  2. Step 2: Convert to fraction form
    32,849/50,731 = 50,731/x
  3. Step 3: Cross multiply
    32,849x = 50,731 × 50,731
  4. Step 4: Simplify right side
    32,849x = 2,573,634,361
  5. Step 5: Solve for x
    x = 2,573,634,361/32,849
  6. Step 6: Final answer
    x = 78,347.42

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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.