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Finding the Third Proportional to 2,709 and 3,807

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Solution

The third proportional to 2,709 and 3,807 is: 5,350.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709 : 3,807 = 3,807 : x
  2. Step 2: Convert to fraction form
    2,709/3,807 = 3,807/x
  3. Step 3: Cross multiply
    2,709x = 3,807 × 3,807
  4. Step 4: Simplify right side
    2,709x = 14,493,249
  5. Step 5: Solve for x
    x = 14,493,249/2,709
  6. Step 6: Final answer
    x = 5,350.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.