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Finding the Third Proportional to 3,709 and 7,627

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Solution

The third proportional to 3,709 and 7,627 is: 15,683.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709 : 7,627 = 7,627 : x
  2. Step 2: Convert to fraction form
    3,709/7,627 = 7,627/x
  3. Step 3: Cross multiply
    3,709x = 7,627 × 7,627
  4. Step 4: Simplify right side
    3,709x = 58,171,129
  5. Step 5: Solve for x
    x = 58,171,129/3,709
  6. Step 6: Final answer
    x = 15,683.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.