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Finding the Third Proportional to 20,942.25 and 45,570.75

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Solution

The third proportional to 20,942.25 and 45,570.75 is: 99,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,942.25 : 45,570.75 = 45,570.75 : x
  2. Step 2: Convert to fraction form
    20,942.25/45,570.75 = 45,570.75/x
  3. Step 3: Cross multiply
    20,942.25x = 45,570.75 × 45,570.75
  4. Step 4: Simplify right side
    20,942.25x = 2,076,693,255.56
  5. Step 5: Solve for x
    x = 2,076,693,255.56/20,942.25
  6. Step 6: Final answer
    x = 99,162.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.