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Finding the Third Proportional to 13,402.13 and 19,944.56

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Solution

The third proportional to 13,402.13 and 19,944.56 is: 29,680.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.13 : 19,944.56 = 19,944.56 : x
  2. Step 2: Convert to fraction form
    13,402.13/19,944.56 = 19,944.56/x
  3. Step 3: Cross multiply
    13,402.13x = 19,944.56 × 19,944.56
  4. Step 4: Simplify right side
    13,402.13x = 397,785,573.32
  5. Step 5: Solve for x
    x = 397,785,573.32/13,402.13
  6. Step 6: Final answer
    x = 29,680.78

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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.