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Finding the Third Proportional to 12,350 and 27,042

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Solution

The third proportional to 12,350 and 27,042 is: 59,212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,350 : 27,042 = 27,042 : x
  2. Step 2: Convert to fraction form
    12,350/27,042 = 27,042/x
  3. Step 3: Cross multiply
    12,350x = 27,042 × 27,042
  4. Step 4: Simplify right side
    12,350x = 731,269,764
  5. Step 5: Solve for x
    x = 731,269,764/12,350
  6. Step 6: Final answer
    x = 59,212.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.