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Finding the Third Proportional to 19,206.28 and 41,914.97

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Solution

The third proportional to 19,206.28 and 41,914.97 is: 91,473.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,206.28 : 41,914.97 = 41,914.97 : x
  2. Step 2: Convert to fraction form
    19,206.28/41,914.97 = 41,914.97/x
  3. Step 3: Cross multiply
    19,206.28x = 41,914.97 × 41,914.97
  4. Step 4: Simplify right side
    19,206.28x = 1,756,864,605.31
  5. Step 5: Solve for x
    x = 1,756,864,605.31/19,206.28
  6. Step 6: Final answer
    x = 91,473.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.