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Finding the Third Proportional to 13,129.88 and 19,704.38

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Solution

The third proportional to 13,129.88 and 19,704.38 is: 29,570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.88 : 19,704.38 = 19,704.38 : x
  2. Step 2: Convert to fraction form
    13,129.88/19,704.38 = 19,704.38/x
  3. Step 3: Cross multiply
    13,129.88x = 19,704.38 × 19,704.38
  4. Step 4: Simplify right side
    13,129.88x = 388,262,394.14
  5. Step 5: Solve for x
    x = 388,262,394.14/13,129.88
  6. Step 6: Final answer
    x = 29,570.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.