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Finding the Third Proportional to 5,864.06 and 8,294.91

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Solution

The third proportional to 5,864.06 and 8,294.91 is: 11,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.06 : 8,294.91 = 8,294.91 : x
  2. Step 2: Convert to fraction form
    5,864.06/8,294.91 = 8,294.91/x
  3. Step 3: Cross multiply
    5,864.06x = 8,294.91 × 8,294.91
  4. Step 4: Simplify right side
    5,864.06x = 68,805,469.70
  5. Step 5: Solve for x
    x = 68,805,469.70/5,864.06
  6. Step 6: Final answer
    x = 11,733.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.