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Finding the Third Proportional to 26,520 and 39,849

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Solution

The third proportional to 26,520 and 39,849 is: 59,877.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,520 : 39,849 = 39,849 : x
  2. Step 2: Convert to fraction form
    26,520/39,849 = 39,849/x
  3. Step 3: Cross multiply
    26,520x = 39,849 × 39,849
  4. Step 4: Simplify right side
    26,520x = 1,587,942,801
  5. Step 5: Solve for x
    x = 1,587,942,801/26,520
  6. Step 6: Final answer
    x = 59,877.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.