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Finding the Third Proportional to 22,972.50 and 49,711.50

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Solution

The third proportional to 22,972.50 and 49,711.50 is: 107,573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,972.50 : 49,711.50 = 49,711.50 : x
  2. Step 2: Convert to fraction form
    22,972.50/49,711.50 = 49,711.50/x
  3. Step 3: Cross multiply
    22,972.50x = 49,711.50 × 49,711.50
  4. Step 4: Simplify right side
    22,972.50x = 2,471,233,232.25
  5. Step 5: Solve for x
    x = 2,471,233,232.25/22,972.50
  6. Step 6: Final answer
    x = 107,573.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.