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Finding the Third Proportional to 2,769.19 and 5,949.70

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Solution

The third proportional to 2,769.19 and 5,949.70 is: 12,783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.19 : 5,949.70 = 5,949.70 : x
  2. Step 2: Convert to fraction form
    2,769.19/5,949.70 = 5,949.70/x
  3. Step 3: Cross multiply
    2,769.19x = 5,949.70 × 5,949.70
  4. Step 4: Simplify right side
    2,769.19x = 35,398,967.28
  5. Step 5: Solve for x
    x = 35,398,967.28/2,769.19
  6. Step 6: Final answer
    x = 12,783.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.