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Finding the Third Proportional to 11,736.84 and 17,709.47

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Solution

The third proportional to 11,736.84 and 17,709.47 is: 26,721.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,736.84 : 17,709.47 = 17,709.47 : x
  2. Step 2: Convert to fraction form
    11,736.84/17,709.47 = 17,709.47/x
  3. Step 3: Cross multiply
    11,736.84x = 17,709.47 × 17,709.47
  4. Step 4: Simplify right side
    11,736.84x = 313,625,283.41
  5. Step 5: Solve for x
    x = 313,625,283.41/11,736.84
  6. Step 6: Final answer
    x = 26,721.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.