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Finding the Third Proportional to 3,930.19 and 6,134.44

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Solution

The third proportional to 3,930.19 and 6,134.44 is: 9,574.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.19 : 6,134.44 = 6,134.44 : x
  2. Step 2: Convert to fraction form
    3,930.19/6,134.44 = 6,134.44/x
  3. Step 3: Cross multiply
    3,930.19x = 6,134.44 × 6,134.44
  4. Step 4: Simplify right side
    3,930.19x = 37,631,323.44
  5. Step 5: Solve for x
    x = 37,631,323.44/3,930.19
  6. Step 6: Final answer
    x = 9,574.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.