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Finding the Third Proportional to 3,434.27 and 4,604.66

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Solution

The third proportional to 3,434.27 and 4,604.66 is: 6,173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.27 : 4,604.66 = 4,604.66 : x
  2. Step 2: Convert to fraction form
    3,434.27/4,604.66 = 4,604.66/x
  3. Step 3: Cross multiply
    3,434.27x = 4,604.66 × 4,604.66
  4. Step 4: Simplify right side
    3,434.27x = 21,202,895.15
  5. Step 5: Solve for x
    x = 21,202,895.15/3,434.27
  6. Step 6: Final answer
    x = 6,173.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.