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Finding the Third Proportional to 3,809 and 7,426

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Solution

The third proportional to 3,809 and 7,426 is: 14,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809 : 7,426 = 7,426 : x
  2. Step 2: Convert to fraction form
    3,809/7,426 = 7,426/x
  3. Step 3: Cross multiply
    3,809x = 7,426 × 7,426
  4. Step 4: Simplify right side
    3,809x = 55,145,476
  5. Step 5: Solve for x
    x = 55,145,476/3,809
  6. Step 6: Final answer
    x = 14,477.68

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.