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Finding the Third Proportional to 24,421.50 and 49,131.56

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Solution

The third proportional to 24,421.50 and 49,131.56 is: 98,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,421.50 : 49,131.56 = 49,131.56 : x
  2. Step 2: Convert to fraction form
    24,421.50/49,131.56 = 49,131.56/x
  3. Step 3: Cross multiply
    24,421.50x = 49,131.56 × 49,131.56
  4. Step 4: Simplify right side
    24,421.50x = 2,413,910,433.69
  5. Step 5: Solve for x
    x = 2,413,910,433.69/24,421.50
  6. Step 6: Final answer
    x = 98,843.66

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These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.