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Finding the Third Proportional to 27,720 and 39,042

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Solution

The third proportional to 27,720 and 39,042 is: 54,988.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,720 : 39,042 = 39,042 : x
  2. Step 2: Convert to fraction form
    27,720/39,042 = 39,042/x
  3. Step 3: Cross multiply
    27,720x = 39,042 × 39,042
  4. Step 4: Simplify right side
    27,720x = 1,524,277,764
  5. Step 5: Solve for x
    x = 1,524,277,764/27,720
  6. Step 6: Final answer
    x = 54,988.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.