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Finding the Third Proportional to 13,930.26 and 21,161.88

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Solution

The third proportional to 13,930.26 and 21,161.88 is: 32,147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.26 : 21,161.88 = 21,161.88 : x
  2. Step 2: Convert to fraction form
    13,930.26/21,161.88 = 21,161.88/x
  3. Step 3: Cross multiply
    13,930.26x = 21,161.88 × 21,161.88
  4. Step 4: Simplify right side
    13,930.26x = 447,825,284.17
  5. Step 5: Solve for x
    x = 447,825,284.17/13,930.26
  6. Step 6: Final answer
    x = 32,147.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.