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Finding the Third Proportional to 32,077.69 and 50,318.72

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Solution

The third proportional to 32,077.69 and 50,318.72 is: 78,932.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077.69 : 50,318.72 = 50,318.72 : x
  2. Step 2: Convert to fraction form
    32,077.69/50,318.72 = 50,318.72/x
  3. Step 3: Cross multiply
    32,077.69x = 50,318.72 × 50,318.72
  4. Step 4: Simplify right side
    32,077.69x = 2,531,973,456.64
  5. Step 5: Solve for x
    x = 2,531,973,456.64/32,077.69
  6. Step 6: Final answer
    x = 78,932.54

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.