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Finding the Third Proportional to 20,884.50 and 32,387.25

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Solution

The third proportional to 20,884.50 and 32,387.25 is: 50,225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,884.50 : 32,387.25 = 32,387.25 : x
  2. Step 2: Convert to fraction form
    20,884.50/32,387.25 = 32,387.25/x
  3. Step 3: Cross multiply
    20,884.50x = 32,387.25 × 32,387.25
  4. Step 4: Simplify right side
    20,884.50x = 1,048,933,962.56
  5. Step 5: Solve for x
    x = 1,048,933,962.56/20,884.50
  6. Step 6: Final answer
    x = 50,225.48

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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.