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Finding the Third Proportional to 14,013.94 and 20,821.31

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Solution

The third proportional to 14,013.94 and 20,821.31 is: 30,935.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,013.94 : 20,821.31 = 20,821.31 : x
  2. Step 2: Convert to fraction form
    14,013.94/20,821.31 = 20,821.31/x
  3. Step 3: Cross multiply
    14,013.94x = 20,821.31 × 20,821.31
  4. Step 4: Simplify right side
    14,013.94x = 433,527,054.22
  5. Step 5: Solve for x
    x = 433,527,054.22/14,013.94
  6. Step 6: Final answer
    x = 30,935.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.