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Finding the Third Proportional to 3,709 and 8,107

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Solution

The third proportional to 3,709 and 8,107 is: 17,719.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709 : 8,107 = 8,107 : x
  2. Step 2: Convert to fraction form
    3,709/8,107 = 8,107/x
  3. Step 3: Cross multiply
    3,709x = 8,107 × 8,107
  4. Step 4: Simplify right side
    3,709x = 65,723,449
  5. Step 5: Solve for x
    x = 65,723,449/3,709
  6. Step 6: Final answer
    x = 17,719.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.