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Finding the Third Proportional to 20,857.50 and 42,439.50

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Solution

The third proportional to 20,857.50 and 42,439.50 is: 86,353.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.50 : 42,439.50 = 42,439.50 : x
  2. Step 2: Convert to fraction form
    20,857.50/42,439.50 = 42,439.50/x
  3. Step 3: Cross multiply
    20,857.50x = 42,439.50 × 42,439.50
  4. Step 4: Simplify right side
    20,857.50x = 1,801,111,160.25
  5. Step 5: Solve for x
    x = 1,801,111,160.25/20,857.50
  6. Step 6: Final answer
    x = 86,353.17

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.