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Finding the Third Proportional to 20,376.75 and 42,022.50

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Solution

The third proportional to 20,376.75 and 42,022.50 is: 86,662.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,376.75 : 42,022.50 = 42,022.50 : x
  2. Step 2: Convert to fraction form
    20,376.75/42,022.50 = 42,022.50/x
  3. Step 3: Cross multiply
    20,376.75x = 42,022.50 × 42,022.50
  4. Step 4: Simplify right side
    20,376.75x = 1,765,890,506.25
  5. Step 5: Solve for x
    x = 1,765,890,506.25/20,376.75
  6. Step 6: Final answer
    x = 86,662.03

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.