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Finding the Third Proportional to 26,882 and 37,605

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Solution

The third proportional to 26,882 and 37,605 is: 52,605.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,882 : 37,605 = 37,605 : x
  2. Step 2: Convert to fraction form
    26,882/37,605 = 37,605/x
  3. Step 3: Cross multiply
    26,882x = 37,605 × 37,605
  4. Step 4: Simplify right side
    26,882x = 1,414,136,025
  5. Step 5: Solve for x
    x = 1,414,136,025/26,882
  6. Step 6: Final answer
    x = 52,605.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.