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Finding the Third Proportional to 13,591.13 and 19,139.63

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Solution

The third proportional to 13,591.13 and 19,139.63 is: 26,953.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,591.13 : 19,139.63 = 19,139.63 : x
  2. Step 2: Convert to fraction form
    13,591.13/19,139.63 = 19,139.63/x
  3. Step 3: Cross multiply
    13,591.13x = 19,139.63 × 19,139.63
  4. Step 4: Simplify right side
    13,591.13x = 366,325,245.14
  5. Step 5: Solve for x
    x = 366,325,245.14/13,591.13
  6. Step 6: Final answer
    x = 26,953.27

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.