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Finding the Third Proportional to 12,694 and 29,256

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Solution

The third proportional to 12,694 and 29,256 is: 67,426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694 : 29,256 = 29,256 : x
  2. Step 2: Convert to fraction form
    12,694/29,256 = 29,256/x
  3. Step 3: Cross multiply
    12,694x = 29,256 × 29,256
  4. Step 4: Simplify right side
    12,694x = 855,913,536
  5. Step 5: Solve for x
    x = 855,913,536/12,694
  6. Step 6: Final answer
    x = 67,426.62

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.