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Finding the Third Proportional to 20,110.75 and 42,891.50

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Solution

The third proportional to 20,110.75 and 42,891.50 is: 91,477.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,110.75 : 42,891.50 = 42,891.50 : x
  2. Step 2: Convert to fraction form
    20,110.75/42,891.50 = 42,891.50/x
  3. Step 3: Cross multiply
    20,110.75x = 42,891.50 × 42,891.50
  4. Step 4: Simplify right side
    20,110.75x = 1,839,680,772.25
  5. Step 5: Solve for x
    x = 1,839,680,772.25/20,110.75
  6. Step 6: Final answer
    x = 91,477.48

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.