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Finding the Third Proportional to 13,362 and 18,997

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Solution

The third proportional to 13,362 and 18,997 is: 27,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,362 : 18,997 = 18,997 : x
  2. Step 2: Convert to fraction form
    13,362/18,997 = 18,997/x
  3. Step 3: Cross multiply
    13,362x = 18,997 × 18,997
  4. Step 4: Simplify right side
    13,362x = 360,886,009
  5. Step 5: Solve for x
    x = 360,886,009/13,362
  6. Step 6: Final answer
    x = 27,008.38

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.