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Finding the Third Proportional to 19,584.28 and 40,960.69

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Solution

The third proportional to 19,584.28 and 40,960.69 is: 85,669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,584.28 : 40,960.69 = 40,960.69 : x
  2. Step 2: Convert to fraction form
    19,584.28/40,960.69 = 40,960.69/x
  3. Step 3: Cross multiply
    19,584.28x = 40,960.69 × 40,960.69
  4. Step 4: Simplify right side
    19,584.28x = 1,677,777,920.47
  5. Step 5: Solve for x
    x = 1,677,777,920.47/19,584.28
  6. Step 6: Final answer
    x = 85,669.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.