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Finding the Third Proportional to 3,198.23 and 4,934.25

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Solution

The third proportional to 3,198.23 and 4,934.25 is: 7,612.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.23 : 4,934.25 = 4,934.25 : x
  2. Step 2: Convert to fraction form
    3,198.23/4,934.25 = 4,934.25/x
  3. Step 3: Cross multiply
    3,198.23x = 4,934.25 × 4,934.25
  4. Step 4: Simplify right side
    3,198.23x = 24,346,823.06
  5. Step 5: Solve for x
    x = 24,346,823.06/3,198.23
  6. Step 6: Final answer
    x = 7,612.58

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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.