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Finding the Third Proportional to 22,745.81 and 49,356.84

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Solution

The third proportional to 22,745.81 and 49,356.84 is: 107,100.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,745.81 : 49,356.84 = 49,356.84 : x
  2. Step 2: Convert to fraction form
    22,745.81/49,356.84 = 49,356.84/x
  3. Step 3: Cross multiply
    22,745.81x = 49,356.84 × 49,356.84
  4. Step 4: Simplify right side
    22,745.81x = 2,436,098,024.96
  5. Step 5: Solve for x
    x = 2,436,098,024.96/22,745.81
  6. Step 6: Final answer
    x = 107,100.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.