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Finding the Third Proportional to 35,501 and 48,067

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Solution

The third proportional to 35,501 and 48,067 is: 65,080.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,501 : 48,067 = 48,067 : x
  2. Step 2: Convert to fraction form
    35,501/48,067 = 48,067/x
  3. Step 3: Cross multiply
    35,501x = 48,067 × 48,067
  4. Step 4: Simplify right side
    35,501x = 2,310,436,489
  5. Step 5: Solve for x
    x = 2,310,436,489/35,501
  6. Step 6: Final answer
    x = 65,080.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.