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Finding the Third Proportional to 27,826 and 61,883

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Solution

The third proportional to 27,826 and 61,883 is: 137,623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,826 : 61,883 = 61,883 : x
  2. Step 2: Convert to fraction form
    27,826/61,883 = 61,883/x
  3. Step 3: Cross multiply
    27,826x = 61,883 × 61,883
  4. Step 4: Simplify right side
    27,826x = 3,829,505,689
  5. Step 5: Solve for x
    x = 3,829,505,689/27,826
  6. Step 6: Final answer
    x = 137,623.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.