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Finding the Third Proportional to 9,724.94 and 19,806.79

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Solution

The third proportional to 9,724.94 and 19,806.79 is: 40,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.94 : 19,806.79 = 19,806.79 : x
  2. Step 2: Convert to fraction form
    9,724.94/19,806.79 = 19,806.79/x
  3. Step 3: Cross multiply
    9,724.94x = 19,806.79 × 19,806.79
  4. Step 4: Simplify right side
    9,724.94x = 392,308,738.23
  5. Step 5: Solve for x
    x = 392,308,738.23/9,724.94
  6. Step 6: Final answer
    x = 40,340.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.