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Finding the Third Proportional to 30,207.94 and 34,923.66

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Solution

The third proportional to 30,207.94 and 34,923.66 is: 40,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,207.94 : 34,923.66 = 34,923.66 : x
  2. Step 2: Convert to fraction form
    30,207.94/34,923.66 = 34,923.66/x
  3. Step 3: Cross multiply
    30,207.94x = 34,923.66 × 34,923.66
  4. Step 4: Simplify right side
    30,207.94x = 1,219,661,765.87
  5. Step 5: Solve for x
    x = 1,219,661,765.87/30,207.94
  6. Step 6: Final answer
    x = 40,375.54

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.