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Finding the Third Proportional to 6,820 and 15,902

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Solution

The third proportional to 6,820 and 15,902 is: 37,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820 : 15,902 = 15,902 : x
  2. Step 2: Convert to fraction form
    6,820/15,902 = 15,902/x
  3. Step 3: Cross multiply
    6,820x = 15,902 × 15,902
  4. Step 4: Simplify right side
    6,820x = 252,873,604
  5. Step 5: Solve for x
    x = 252,873,604/6,820
  6. Step 6: Final answer
    x = 37,078.24

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.