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Finding the Third Proportional to 1,784 and 3,799

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Solution

The third proportional to 1,784 and 3,799 is: 8,089.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784 : 3,799 = 3,799 : x
  2. Step 2: Convert to fraction form
    1,784/3,799 = 3,799/x
  3. Step 3: Cross multiply
    1,784x = 3,799 × 3,799
  4. Step 4: Simplify right side
    1,784x = 14,432,401
  5. Step 5: Solve for x
    x = 14,432,401/1,784
  6. Step 6: Final answer
    x = 8,089.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.