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Finding the Third Proportional to 7,828 and 15,824

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Solution

The third proportional to 7,828 and 15,824 is: 31,987.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828 : 15,824 = 15,824 : x
  2. Step 2: Convert to fraction form
    7,828/15,824 = 15,824/x
  3. Step 3: Cross multiply
    7,828x = 15,824 × 15,824
  4. Step 4: Simplify right side
    7,828x = 250,398,976
  5. Step 5: Solve for x
    x = 250,398,976/7,828
  6. Step 6: Final answer
    x = 31,987.61

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.