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Finding the Third Proportional to 13,861.13 and 20,943.56

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Solution

The third proportional to 13,861.13 and 20,943.56 is: 31,644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,861.13 : 20,943.56 = 20,943.56 : x
  2. Step 2: Convert to fraction form
    13,861.13/20,943.56 = 20,943.56/x
  3. Step 3: Cross multiply
    13,861.13x = 20,943.56 × 20,943.56
  4. Step 4: Simplify right side
    13,861.13x = 438,632,810.19
  5. Step 5: Solve for x
    x = 438,632,810.19/13,861.13
  6. Step 6: Final answer
    x = 31,644.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.