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Finding the Third Proportional to 13,886 and 19,843.13

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Solution

The third proportional to 13,886 and 19,843.13 is: 28,355.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886 : 19,843.13 = 19,843.13 : x
  2. Step 2: Convert to fraction form
    13,886/19,843.13 = 19,843.13/x
  3. Step 3: Cross multiply
    13,886x = 19,843.13 × 19,843.13
  4. Step 4: Simplify right side
    13,886x = 393,749,609.77
  5. Step 5: Solve for x
    x = 393,749,609.77/13,886
  6. Step 6: Final answer
    x = 28,355.87

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.