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Finding the Third Proportional to 3,784 and 6,740

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Solution

The third proportional to 3,784 and 6,740 is: 12,005.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784 : 6,740 = 6,740 : x
  2. Step 2: Convert to fraction form
    3,784/6,740 = 6,740/x
  3. Step 3: Cross multiply
    3,784x = 6,740 × 6,740
  4. Step 4: Simplify right side
    3,784x = 45,427,600
  5. Step 5: Solve for x
    x = 45,427,600/3,784
  6. Step 6: Final answer
    x = 12,005.18

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.