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Finding the Third Proportional to 1,079.62 and 2,364.62

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Solution

The third proportional to 1,079.62 and 2,364.62 is: 5,179.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.62 : 2,364.62 = 2,364.62 : x
  2. Step 2: Convert to fraction form
    1,079.62/2,364.62 = 2,364.62/x
  3. Step 3: Cross multiply
    1,079.62x = 2,364.62 × 2,364.62
  4. Step 4: Simplify right side
    1,079.62x = 5,591,439.84
  5. Step 5: Solve for x
    x = 5,591,439.84/1,079.62
  6. Step 6: Final answer
    x = 5,179.09

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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.