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Finding the Third Proportional to 23,806.41 and 51,371.72

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Solution

The third proportional to 23,806.41 and 51,371.72 is: 110,854.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806.41 : 51,371.72 = 51,371.72 : x
  2. Step 2: Convert to fraction form
    23,806.41/51,371.72 = 51,371.72/x
  3. Step 3: Cross multiply
    23,806.41x = 51,371.72 × 51,371.72
  4. Step 4: Simplify right side
    23,806.41x = 2,639,053,487.33
  5. Step 5: Solve for x
    x = 2,639,053,487.33/23,806.41
  6. Step 6: Final answer
    x = 110,854.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.