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Finding the Third Proportional to 11,378 and 16,997

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Solution

The third proportional to 11,378 and 16,997 is: 25,390.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378 : 16,997 = 16,997 : x
  2. Step 2: Convert to fraction form
    11,378/16,997 = 16,997/x
  3. Step 3: Cross multiply
    11,378x = 16,997 × 16,997
  4. Step 4: Simplify right side
    11,378x = 288,898,009
  5. Step 5: Solve for x
    x = 288,898,009/11,378
  6. Step 6: Final answer
    x = 25,390.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.