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Finding the Third Proportional to 22,471.88 and 49,931.81

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Solution

The third proportional to 22,471.88 and 49,931.81 is: 110,946.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.88 : 49,931.81 = 49,931.81 : x
  2. Step 2: Convert to fraction form
    22,471.88/49,931.81 = 49,931.81/x
  3. Step 3: Cross multiply
    22,471.88x = 49,931.81 × 49,931.81
  4. Step 4: Simplify right side
    22,471.88x = 2,493,185,899.54
  5. Step 5: Solve for x
    x = 2,493,185,899.54/22,471.88
  6. Step 6: Final answer
    x = 110,946.95

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.