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Finding the Third Proportional to 11,639 and 26,694

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Solution

The third proportional to 11,639 and 26,694 is: 61,222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,639 : 26,694 = 26,694 : x
  2. Step 2: Convert to fraction form
    11,639/26,694 = 26,694/x
  3. Step 3: Cross multiply
    11,639x = 26,694 × 26,694
  4. Step 4: Simplify right side
    11,639x = 712,569,636
  5. Step 5: Solve for x
    x = 712,569,636/11,639
  6. Step 6: Final answer
    x = 61,222.58

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.