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Finding the Third Proportional to 7,042 and 15,067

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Solution

The third proportional to 7,042 and 15,067 is: 32,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042 : 15,067 = 15,067 : x
  2. Step 2: Convert to fraction form
    7,042/15,067 = 15,067/x
  3. Step 3: Cross multiply
    7,042x = 15,067 × 15,067
  4. Step 4: Simplify right side
    7,042x = 227,014,489
  5. Step 5: Solve for x
    x = 227,014,489/7,042
  6. Step 6: Final answer
    x = 32,237.22

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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.