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Finding the Third Proportional to 32,694 and 50,716

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Solution

The third proportional to 32,694 and 50,716 is: 78,672.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,694 : 50,716 = 50,716 : x
  2. Step 2: Convert to fraction form
    32,694/50,716 = 50,716/x
  3. Step 3: Cross multiply
    32,694x = 50,716 × 50,716
  4. Step 4: Simplify right side
    32,694x = 2,572,112,656
  5. Step 5: Solve for x
    x = 2,572,112,656/32,694
  6. Step 6: Final answer
    x = 78,672.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.