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Finding the Third Proportional to 3,767 and 6,709

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Solution

The third proportional to 3,767 and 6,709 is: 11,948.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767 : 6,709 = 6,709 : x
  2. Step 2: Convert to fraction form
    3,767/6,709 = 6,709/x
  3. Step 3: Cross multiply
    3,767x = 6,709 × 6,709
  4. Step 4: Simplify right side
    3,767x = 45,010,681
  5. Step 5: Solve for x
    x = 45,010,681/3,767
  6. Step 6: Final answer
    x = 11,948.68

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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.