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Finding the Third Proportional to 1,623.80 and 3,794.66

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Solution

The third proportional to 1,623.80 and 3,794.66 is: 8,867.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.80 : 3,794.66 = 3,794.66 : x
  2. Step 2: Convert to fraction form
    1,623.80/3,794.66 = 3,794.66/x
  3. Step 3: Cross multiply
    1,623.80x = 3,794.66 × 3,794.66
  4. Step 4: Simplify right side
    1,623.80x = 14,399,445.70
  5. Step 5: Solve for x
    x = 14,399,445.70/1,623.80
  6. Step 6: Final answer
    x = 8,867.76

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.