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Finding the Third Proportional to 3,194.44 and 4,865.06

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Solution

The third proportional to 3,194.44 and 4,865.06 is: 7,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.44 : 4,865.06 = 4,865.06 : x
  2. Step 2: Convert to fraction form
    3,194.44/4,865.06 = 4,865.06/x
  3. Step 3: Cross multiply
    3,194.44x = 4,865.06 × 4,865.06
  4. Step 4: Simplify right side
    3,194.44x = 23,668,833.13
  5. Step 5: Solve for x
    x = 23,668,833.13/3,194.44
  6. Step 6: Final answer
    x = 7,409.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.