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Finding the Third Proportional to 2,997.84 and 6,819.19

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Solution

The third proportional to 2,997.84 and 6,819.19 is: 15,511.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.84 : 6,819.19 = 6,819.19 : x
  2. Step 2: Convert to fraction form
    2,997.84/6,819.19 = 6,819.19/x
  3. Step 3: Cross multiply
    2,997.84x = 6,819.19 × 6,819.19
  4. Step 4: Simplify right side
    2,997.84x = 46,501,318.16
  5. Step 5: Solve for x
    x = 46,501,318.16/2,997.84
  6. Step 6: Final answer
    x = 15,511.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.