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Finding the Third Proportional to 13,833.28 and 24,601.22

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Solution

The third proportional to 13,833.28 and 24,601.22 is: 43,751.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.28 : 24,601.22 = 24,601.22 : x
  2. Step 2: Convert to fraction form
    13,833.28/24,601.22 = 24,601.22/x
  3. Step 3: Cross multiply
    13,833.28x = 24,601.22 × 24,601.22
  4. Step 4: Simplify right side
    13,833.28x = 605,219,963.99
  5. Step 5: Solve for x
    x = 605,219,963.99/13,833.28
  6. Step 6: Final answer
    x = 43,751.01

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.