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Finding the Third Proportional to 3,975.75 and 6,094.69

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Solution

The third proportional to 3,975.75 and 6,094.69 is: 9,342.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.75 : 6,094.69 = 6,094.69 : x
  2. Step 2: Convert to fraction form
    3,975.75/6,094.69 = 6,094.69/x
  3. Step 3: Cross multiply
    3,975.75x = 6,094.69 × 6,094.69
  4. Step 4: Simplify right side
    3,975.75x = 37,145,215.72
  5. Step 5: Solve for x
    x = 37,145,215.72/3,975.75
  6. Step 6: Final answer
    x = 9,342.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.