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Finding the Third Proportional to 12,042 and 25,933

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Solution

The third proportional to 12,042 and 25,933 is: 55,847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,042 : 25,933 = 25,933 : x
  2. Step 2: Convert to fraction form
    12,042/25,933 = 25,933/x
  3. Step 3: Cross multiply
    12,042x = 25,933 × 25,933
  4. Step 4: Simplify right side
    12,042x = 672,520,489
  5. Step 5: Solve for x
    x = 672,520,489/12,042
  6. Step 6: Final answer
    x = 55,847.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.