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Finding the Third Proportional to 20,884.50 and 32,811.75

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Solution

The third proportional to 20,884.50 and 32,811.75 is: 51,550.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,884.50 : 32,811.75 = 32,811.75 : x
  2. Step 2: Convert to fraction form
    20,884.50/32,811.75 = 32,811.75/x
  3. Step 3: Cross multiply
    20,884.50x = 32,811.75 × 32,811.75
  4. Step 4: Simplify right side
    20,884.50x = 1,076,610,938.06
  5. Step 5: Solve for x
    x = 1,076,610,938.06/20,884.50
  6. Step 6: Final answer
    x = 51,550.72

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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.