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Finding the Third Proportional to 14,709 and 34,694

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Solution

The third proportional to 14,709 and 34,694 is: 81,832.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709 : 34,694 = 34,694 : x
  2. Step 2: Convert to fraction form
    14,709/34,694 = 34,694/x
  3. Step 3: Cross multiply
    14,709x = 34,694 × 34,694
  4. Step 4: Simplify right side
    14,709x = 1,203,673,636
  5. Step 5: Solve for x
    x = 1,203,673,636/14,709
  6. Step 6: Final answer
    x = 81,832.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.