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Finding the Third Proportional to 27,882 and 37,826

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Solution

The third proportional to 27,882 and 37,826 is: 51,316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,882 : 37,826 = 37,826 : x
  2. Step 2: Convert to fraction form
    27,882/37,826 = 37,826/x
  3. Step 3: Cross multiply
    27,882x = 37,826 × 37,826
  4. Step 4: Simplify right side
    27,882x = 1,430,806,276
  5. Step 5: Solve for x
    x = 1,430,806,276/27,882
  6. Step 6: Final answer
    x = 51,316.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.