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Finding the Third Proportional to 20,563.50 and 42,741.75

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Solution

The third proportional to 20,563.50 and 42,741.75 is: 88,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,563.50 : 42,741.75 = 42,741.75 : x
  2. Step 2: Convert to fraction form
    20,563.50/42,741.75 = 42,741.75/x
  3. Step 3: Cross multiply
    20,563.50x = 42,741.75 × 42,741.75
  4. Step 4: Simplify right side
    20,563.50x = 1,826,857,193.06
  5. Step 5: Solve for x
    x = 1,826,857,193.06/20,563.50
  6. Step 6: Final answer
    x = 88,839.80

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.