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Finding the Third Proportional to 8,299.97 and 17,929.79

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Solution

The third proportional to 8,299.97 and 17,929.79 is: 38,732.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.97 : 17,929.79 = 17,929.79 : x
  2. Step 2: Convert to fraction form
    8,299.97/17,929.79 = 17,929.79/x
  3. Step 3: Cross multiply
    8,299.97x = 17,929.79 × 17,929.79
  4. Step 4: Simplify right side
    8,299.97x = 321,477,475.90
  5. Step 5: Solve for x
    x = 321,477,475.90/8,299.97
  6. Step 6: Final answer
    x = 38,732.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.