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Finding the Third Proportional to 23,689.41 and 51,069.09

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Solution

The third proportional to 23,689.41 and 51,069.09 is: 110,093.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,689.41 : 51,069.09 = 51,069.09 : x
  2. Step 2: Convert to fraction form
    23,689.41/51,069.09 = 51,069.09/x
  3. Step 3: Cross multiply
    23,689.41x = 51,069.09 × 51,069.09
  4. Step 4: Simplify right side
    23,689.41x = 2,608,052,336.45
  5. Step 5: Solve for x
    x = 2,608,052,336.45/23,689.41
  6. Step 6: Final answer
    x = 110,093.61

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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.