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Finding the Third Proportional to 13,856 and 19,824

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Solution

The third proportional to 13,856 and 19,824 is: 28,362.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856 : 19,824 = 19,824 : x
  2. Step 2: Convert to fraction form
    13,856/19,824 = 19,824/x
  3. Step 3: Cross multiply
    13,856x = 19,824 × 19,824
  4. Step 4: Simplify right side
    13,856x = 392,990,976
  5. Step 5: Solve for x
    x = 392,990,976/13,856
  6. Step 6: Final answer
    x = 28,362.51

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Why These Related Problems?

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