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Finding the Third Proportional to 13,863.94 and 21,310.31

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Solution

The third proportional to 13,863.94 and 21,310.31 is: 32,756.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.94 : 21,310.31 = 21,310.31 : x
  2. Step 2: Convert to fraction form
    13,863.94/21,310.31 = 21,310.31/x
  3. Step 3: Cross multiply
    13,863.94x = 21,310.31 × 21,310.31
  4. Step 4: Simplify right side
    13,863.94x = 454,129,418.85
  5. Step 5: Solve for x
    x = 454,129,418.85/13,863.94
  6. Step 6: Final answer
    x = 32,756.16

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.