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Finding the Third Proportional to 6,820 and 14,074

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Solution

The third proportional to 6,820 and 14,074 is: 29,043.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820 : 14,074 = 14,074 : x
  2. Step 2: Convert to fraction form
    6,820/14,074 = 14,074/x
  3. Step 3: Cross multiply
    6,820x = 14,074 × 14,074
  4. Step 4: Simplify right side
    6,820x = 198,077,476
  5. Step 5: Solve for x
    x = 198,077,476/6,820
  6. Step 6: Final answer
    x = 29,043.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.