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Finding the Third Proportional to 34,933 and 52,424

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Solution

The third proportional to 34,933 and 52,424 is: 78,672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,933 : 52,424 = 52,424 : x
  2. Step 2: Convert to fraction form
    34,933/52,424 = 52,424/x
  3. Step 3: Cross multiply
    34,933x = 52,424 × 52,424
  4. Step 4: Simplify right side
    34,933x = 2,748,275,776
  5. Step 5: Solve for x
    x = 2,748,275,776/34,933
  6. Step 6: Final answer
    x = 78,672.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.