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Finding the Third Proportional to 22,863 and 33,019.50

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Solution

The third proportional to 22,863 and 33,019.50 is: 47,687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,863 : 33,019.50 = 33,019.50 : x
  2. Step 2: Convert to fraction form
    22,863/33,019.50 = 33,019.50/x
  3. Step 3: Cross multiply
    22,863x = 33,019.50 × 33,019.50
  4. Step 4: Simplify right side
    22,863x = 1,090,287,380.25
  5. Step 5: Solve for x
    x = 1,090,287,380.25/22,863
  6. Step 6: Final answer
    x = 47,687.85

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.