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Finding the Third Proportional to 20,844.50 and 49,174.50

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Solution

The third proportional to 20,844.50 and 49,174.50 is: 116,008.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,844.50 : 49,174.50 = 49,174.50 : x
  2. Step 2: Convert to fraction form
    20,844.50/49,174.50 = 49,174.50/x
  3. Step 3: Cross multiply
    20,844.50x = 49,174.50 × 49,174.50
  4. Step 4: Simplify right side
    20,844.50x = 2,418,131,450.25
  5. Step 5: Solve for x
    x = 2,418,131,450.25/20,844.50
  6. Step 6: Final answer
    x = 116,008.13

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.