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Finding the Third Proportional to 22,826.81 and 49,807.41

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Solution

The third proportional to 22,826.81 and 49,807.41 is: 108,678.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,826.81 : 49,807.41 = 49,807.41 : x
  2. Step 2: Convert to fraction form
    22,826.81/49,807.41 = 49,807.41/x
  3. Step 3: Cross multiply
    22,826.81x = 49,807.41 × 49,807.41
  4. Step 4: Simplify right side
    22,826.81x = 2,480,777,717.35
  5. Step 5: Solve for x
    x = 2,480,777,717.35/22,826.81
  6. Step 6: Final answer
    x = 108,678.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.