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Finding the Third Proportional to 2,767.92 and 6,074.05

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Solution

The third proportional to 2,767.92 and 6,074.05 is: 13,329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.92 : 6,074.05 = 6,074.05 : x
  2. Step 2: Convert to fraction form
    2,767.92/6,074.05 = 6,074.05/x
  3. Step 3: Cross multiply
    2,767.92x = 6,074.05 × 6,074.05
  4. Step 4: Simplify right side
    2,767.92x = 36,894,092.89
  5. Step 5: Solve for x
    x = 36,894,092.89/2,767.92
  6. Step 6: Final answer
    x = 13,329.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.