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Finding the Third Proportional to 13,614.13 and 20,821.69

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Solution

The third proportional to 13,614.13 and 20,821.69 is: 31,845.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.13 : 20,821.69 = 20,821.69 : x
  2. Step 2: Convert to fraction form
    13,614.13/20,821.69 = 20,821.69/x
  3. Step 3: Cross multiply
    13,614.13x = 20,821.69 × 20,821.69
  4. Step 4: Simplify right side
    13,614.13x = 433,542,670.35
  5. Step 5: Solve for x
    x = 433,542,670.35/13,614.13
  6. Step 6: Final answer
    x = 31,845.06

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.