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Finding the Third Proportional to 3,709 and 7,966

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Solution

The third proportional to 3,709 and 7,966 is: 17,108.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709 : 7,966 = 7,966 : x
  2. Step 2: Convert to fraction form
    3,709/7,966 = 7,966/x
  3. Step 3: Cross multiply
    3,709x = 7,966 × 7,966
  4. Step 4: Simplify right side
    3,709x = 63,457,156
  5. Step 5: Solve for x
    x = 63,457,156/3,709
  6. Step 6: Final answer
    x = 17,108.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.