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Finding the Third Proportional to 38,362 and 61,067

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Solution

The third proportional to 38,362 and 61,067 is: 97,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,362 : 61,067 = 61,067 : x
  2. Step 2: Convert to fraction form
    38,362/61,067 = 61,067/x
  3. Step 3: Cross multiply
    38,362x = 61,067 × 61,067
  4. Step 4: Simplify right side
    38,362x = 3,729,178,489
  5. Step 5: Solve for x
    x = 3,729,178,489/38,362
  6. Step 6: Final answer
    x = 97,210.22

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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.