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Finding the Third Proportional to 3,185.44 and 4,920.19

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Solution

The third proportional to 3,185.44 and 4,920.19 is: 7,599.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.44 : 4,920.19 = 4,920.19 : x
  2. Step 2: Convert to fraction form
    3,185.44/4,920.19 = 4,920.19/x
  3. Step 3: Cross multiply
    3,185.44x = 4,920.19 × 4,920.19
  4. Step 4: Simplify right side
    3,185.44x = 24,208,245.04
  5. Step 5: Solve for x
    x = 24,208,245.04/3,185.44
  6. Step 6: Final answer
    x = 7,599.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.