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Finding the Third Proportional to 21,991.50 and 42,882.75

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Solution

The third proportional to 21,991.50 and 42,882.75 is: 83,620.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,991.50 : 42,882.75 = 42,882.75 : x
  2. Step 2: Convert to fraction form
    21,991.50/42,882.75 = 42,882.75/x
  3. Step 3: Cross multiply
    21,991.50x = 42,882.75 × 42,882.75
  4. Step 4: Simplify right side
    21,991.50x = 1,838,930,247.56
  5. Step 5: Solve for x
    x = 1,838,930,247.56/21,991.50
  6. Step 6: Final answer
    x = 83,620.05

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.