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Finding the Third Proportional to 37,407 and 79,997

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Solution

The third proportional to 37,407 and 79,997 is: 171,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,407 : 79,997 = 79,997 : x
  2. Step 2: Convert to fraction form
    37,407/79,997 = 79,997/x
  3. Step 3: Cross multiply
    37,407x = 79,997 × 79,997
  4. Step 4: Simplify right side
    37,407x = 6,399,520,009
  5. Step 5: Solve for x
    x = 6,399,520,009/37,407
  6. Step 6: Final answer
    x = 171,078.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.