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Finding the Third Proportional to 8,911.69 and 19,661.91

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Solution

The third proportional to 8,911.69 and 19,661.91 is: 43,380.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,911.69 : 19,661.91 = 19,661.91 : x
  2. Step 2: Convert to fraction form
    8,911.69/19,661.91 = 19,661.91/x
  3. Step 3: Cross multiply
    8,911.69x = 19,661.91 × 19,661.91
  4. Step 4: Simplify right side
    8,911.69x = 386,590,557.38
  5. Step 5: Solve for x
    x = 386,590,557.38/8,911.69
  6. Step 6: Final answer
    x = 43,380.17

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.