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Finding the Third Proportional to 22,963.50 and 50,437.69

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Solution

The third proportional to 22,963.50 and 50,437.69 is: 110,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.50 : 50,437.69 = 50,437.69 : x
  2. Step 2: Convert to fraction form
    22,963.50/50,437.69 = 50,437.69/x
  3. Step 3: Cross multiply
    22,963.50x = 50,437.69 × 50,437.69
  4. Step 4: Simplify right side
    22,963.50x = 2,543,960,320.35
  5. Step 5: Solve for x
    x = 2,543,960,320.35/22,963.50
  6. Step 6: Final answer
    x = 110,782.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.