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Finding the Third Proportional to 6,769.25 and 14,080.19

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Solution

The third proportional to 6,769.25 and 14,080.19 is: 29,287.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.25 : 14,080.19 = 14,080.19 : x
  2. Step 2: Convert to fraction form
    6,769.25/14,080.19 = 14,080.19/x
  3. Step 3: Cross multiply
    6,769.25x = 14,080.19 × 14,080.19
  4. Step 4: Simplify right side
    6,769.25x = 198,251,680.04
  5. Step 5: Solve for x
    x = 198,251,680.04/6,769.25
  6. Step 6: Final answer
    x = 29,287.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.