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Finding the Third Proportional to 14,083.88 and 18,857.81

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Solution

The third proportional to 14,083.88 and 18,857.81 is: 25,249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083.88 : 18,857.81 = 18,857.81 : x
  2. Step 2: Convert to fraction form
    14,083.88/18,857.81 = 18,857.81/x
  3. Step 3: Cross multiply
    14,083.88x = 18,857.81 × 18,857.81
  4. Step 4: Simplify right side
    14,083.88x = 355,617,092.29
  5. Step 5: Solve for x
    x = 355,617,092.29/14,083.88
  6. Step 6: Final answer
    x = 25,249.95

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.