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Finding the Third Proportional to 13,886 and 18,663

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Solution

The third proportional to 13,886 and 18,663 is: 25,083.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886 : 18,663 = 18,663 : x
  2. Step 2: Convert to fraction form
    13,886/18,663 = 18,663/x
  3. Step 3: Cross multiply
    13,886x = 18,663 × 18,663
  4. Step 4: Simplify right side
    13,886x = 348,307,569
  5. Step 5: Solve for x
    x = 348,307,569/13,886
  6. Step 6: Final answer
    x = 25,083.36

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.