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Finding the Third Proportional to 9,086 and 18,997

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Solution

The third proportional to 9,086 and 18,997 is: 39,718.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086 : 18,997 = 18,997 : x
  2. Step 2: Convert to fraction form
    9,086/18,997 = 18,997/x
  3. Step 3: Cross multiply
    9,086x = 18,997 × 18,997
  4. Step 4: Simplify right side
    9,086x = 360,886,009
  5. Step 5: Solve for x
    x = 360,886,009/9,086
  6. Step 6: Final answer
    x = 39,718.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.