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Finding the Third Proportional to 32,327.50 and 50,456.50

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Solution

The third proportional to 32,327.50 and 50,456.50 is: 78,752.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,327.50 : 50,456.50 = 50,456.50 : x
  2. Step 2: Convert to fraction form
    32,327.50/50,456.50 = 50,456.50/x
  3. Step 3: Cross multiply
    32,327.50x = 50,456.50 × 50,456.50
  4. Step 4: Simplify right side
    32,327.50x = 2,545,858,392.25
  5. Step 5: Solve for x
    x = 2,545,858,392.25/32,327.50
  6. Step 6: Final answer
    x = 78,752.10

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.