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Finding the Third Proportional to 8,398.69 and 11,943.07

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Solution

The third proportional to 8,398.69 and 11,943.07 is: 16,983.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398.69 : 11,943.07 = 11,943.07 : x
  2. Step 2: Convert to fraction form
    8,398.69/11,943.07 = 11,943.07/x
  3. Step 3: Cross multiply
    8,398.69x = 11,943.07 × 11,943.07
  4. Step 4: Simplify right side
    8,398.69x = 142,636,928.49
  5. Step 5: Solve for x
    x = 142,636,928.49/8,398.69
  6. Step 6: Final answer
    x = 16,983.24

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.