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Finding the Third Proportional to 8,369.84 and 18,020.93

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Solution

The third proportional to 8,369.84 and 18,020.93 is: 38,800.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.84 : 18,020.93 = 18,020.93 : x
  2. Step 2: Convert to fraction form
    8,369.84/18,020.93 = 18,020.93/x
  3. Step 3: Cross multiply
    8,369.84x = 18,020.93 × 18,020.93
  4. Step 4: Simplify right side
    8,369.84x = 324,753,751.71
  5. Step 5: Solve for x
    x = 324,753,751.71/8,369.84
  6. Step 6: Final answer
    x = 38,800.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.