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Finding the Third Proportional to 32,104.50 and 47,816.75

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Solution

The third proportional to 32,104.50 and 47,816.75 is: 71,218.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,104.50 : 47,816.75 = 47,816.75 : x
  2. Step 2: Convert to fraction form
    32,104.50/47,816.75 = 47,816.75/x
  3. Step 3: Cross multiply
    32,104.50x = 47,816.75 × 47,816.75
  4. Step 4: Simplify right side
    32,104.50x = 2,286,441,580.56
  5. Step 5: Solve for x
    x = 2,286,441,580.56/32,104.50
  6. Step 6: Final answer
    x = 71,218.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.