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Finding the Third Proportional to 13,959.21 and 18,273.41

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Solution

The third proportional to 13,959.21 and 18,273.41 is: 23,920.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,959.21 : 18,273.41 = 18,273.41 : x
  2. Step 2: Convert to fraction form
    13,959.21/18,273.41 = 18,273.41/x
  3. Step 3: Cross multiply
    13,959.21x = 18,273.41 × 18,273.41
  4. Step 4: Simplify right side
    13,959.21x = 333,917,518.74
  5. Step 5: Solve for x
    x = 333,917,518.74/13,959.21
  6. Step 6: Final answer
    x = 23,920.95

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.