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Finding the Third Proportional to 38,997 and 62,005

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Solution

The third proportional to 38,997 and 62,005 is: 98,587.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,997 : 62,005 = 62,005 : x
  2. Step 2: Convert to fraction form
    38,997/62,005 = 62,005/x
  3. Step 3: Cross multiply
    38,997x = 62,005 × 62,005
  4. Step 4: Simplify right side
    38,997x = 3,844,620,025
  5. Step 5: Solve for x
    x = 3,844,620,025/38,997
  6. Step 6: Final answer
    x = 98,587.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.