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Finding the Third Proportional to 26,827 and 39,922

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Solution

The third proportional to 26,827 and 39,922 is: 59,409.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,827 : 39,922 = 39,922 : x
  2. Step 2: Convert to fraction form
    26,827/39,922 = 39,922/x
  3. Step 3: Cross multiply
    26,827x = 39,922 × 39,922
  4. Step 4: Simplify right side
    26,827x = 1,593,766,084
  5. Step 5: Solve for x
    x = 1,593,766,084/26,827
  6. Step 6: Final answer
    x = 59,409.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.