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Finding the Third Proportional to 8,299.97 and 17,537.77

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Solution

The third proportional to 8,299.97 and 17,537.77 is: 37,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.97 : 17,537.77 = 17,537.77 : x
  2. Step 2: Convert to fraction form
    8,299.97/17,537.77 = 17,537.77/x
  3. Step 3: Cross multiply
    8,299.97x = 17,537.77 × 17,537.77
  4. Step 4: Simplify right side
    8,299.97x = 307,573,223.12
  5. Step 5: Solve for x
    x = 307,573,223.12/8,299.97
  6. Step 6: Final answer
    x = 37,057.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.