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Finding the Third Proportional to 38,997 and 60,495

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Solution

The third proportional to 38,997 and 60,495 is: 93,844.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,997 : 60,495 = 60,495 : x
  2. Step 2: Convert to fraction form
    38,997/60,495 = 60,495/x
  3. Step 3: Cross multiply
    38,997x = 60,495 × 60,495
  4. Step 4: Simplify right side
    38,997x = 3,659,645,025
  5. Step 5: Solve for x
    x = 3,659,645,025/38,997
  6. Step 6: Final answer
    x = 93,844.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.