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Finding the Third Proportional to 20,434.78 and 27,736.17

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Solution

The third proportional to 20,434.78 and 27,736.17 is: 37,646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,434.78 : 27,736.17 = 27,736.17 : x
  2. Step 2: Convert to fraction form
    20,434.78/27,736.17 = 27,736.17/x
  3. Step 3: Cross multiply
    20,434.78x = 27,736.17 × 27,736.17
  4. Step 4: Simplify right side
    20,434.78x = 769,295,230.28
  5. Step 5: Solve for x
    x = 769,295,230.28/20,434.78
  6. Step 6: Final answer
    x = 37,646.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.