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Finding the Third Proportional to 6,808 and 14,042

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Solution

The third proportional to 6,808 and 14,042 is: 28,962.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808 : 14,042 = 14,042 : x
  2. Step 2: Convert to fraction form
    6,808/14,042 = 14,042/x
  3. Step 3: Cross multiply
    6,808x = 14,042 × 14,042
  4. Step 4: Simplify right side
    6,808x = 197,177,764
  5. Step 5: Solve for x
    x = 197,177,764/6,808
  6. Step 6: Final answer
    x = 28,962.66

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1.5x scale

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.