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Finding the Third Proportional to 8,029.13 and 17,285.91

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Solution

The third proportional to 8,029.13 and 17,285.91 is: 37,214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.13 : 17,285.91 = 17,285.91 : x
  2. Step 2: Convert to fraction form
    8,029.13/17,285.91 = 17,285.91/x
  3. Step 3: Cross multiply
    8,029.13x = 17,285.91 × 17,285.91
  4. Step 4: Simplify right side
    8,029.13x = 298,802,554.88
  5. Step 5: Solve for x
    x = 298,802,554.88/8,029.13
  6. Step 6: Final answer
    x = 37,214.83

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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.