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Finding the Third Proportional to 34,539 and 50,671

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Solution

The third proportional to 34,539 and 50,671 is: 74,337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,539 : 50,671 = 50,671 : x
  2. Step 2: Convert to fraction form
    34,539/50,671 = 50,671/x
  3. Step 3: Cross multiply
    34,539x = 50,671 × 50,671
  4. Step 4: Simplify right side
    34,539x = 2,567,550,241
  5. Step 5: Solve for x
    x = 2,567,550,241/34,539
  6. Step 6: Final answer
    x = 74,337.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.