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Finding the Third Proportional to 20,227.50 and 43,006.50

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Solution

The third proportional to 20,227.50 and 43,006.50 is: 91,437.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,227.50 : 43,006.50 = 43,006.50 : x
  2. Step 2: Convert to fraction form
    20,227.50/43,006.50 = 43,006.50/x
  3. Step 3: Cross multiply
    20,227.50x = 43,006.50 × 43,006.50
  4. Step 4: Simplify right side
    20,227.50x = 1,849,559,042.25
  5. Step 5: Solve for x
    x = 1,849,559,042.25/20,227.50
  6. Step 6: Final answer
    x = 91,437.85

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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.