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Finding the Third Proportional to 27,969 and 36,687

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Solution

The third proportional to 27,969 and 36,687 is: 48,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,969 : 36,687 = 36,687 : x
  2. Step 2: Convert to fraction form
    27,969/36,687 = 36,687/x
  3. Step 3: Cross multiply
    27,969x = 36,687 × 36,687
  4. Step 4: Simplify right side
    27,969x = 1,345,935,969
  5. Step 5: Solve for x
    x = 1,345,935,969/27,969
  6. Step 6: Final answer
    x = 48,122.42

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.