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Finding the Third Proportional to 35,298 and 50,997

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Solution

The third proportional to 35,298 and 50,997 is: 73,678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,298 : 50,997 = 50,997 : x
  2. Step 2: Convert to fraction form
    35,298/50,997 = 50,997/x
  3. Step 3: Cross multiply
    35,298x = 50,997 × 50,997
  4. Step 4: Simplify right side
    35,298x = 2,600,694,009
  5. Step 5: Solve for x
    x = 2,600,694,009/35,298
  6. Step 6: Final answer
    x = 73,678.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.