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Finding the Third Proportional to 1,279.69 and 2,783.81

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Solution

The third proportional to 1,279.69 and 2,783.81 is: 6,055.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.69 : 2,783.81 = 2,783.81 : x
  2. Step 2: Convert to fraction form
    1,279.69/2,783.81 = 2,783.81/x
  3. Step 3: Cross multiply
    1,279.69x = 2,783.81 × 2,783.81
  4. Step 4: Simplify right side
    1,279.69x = 7,749,612.04
  5. Step 5: Solve for x
    x = 7,749,612.04/1,279.69
  6. Step 6: Final answer
    x = 6,055.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.