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Finding the Third Proportional to 2,546.44 and 3,846.66

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Solution

The third proportional to 2,546.44 and 3,846.66 is: 5,810.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.44 : 3,846.66 = 3,846.66 : x
  2. Step 2: Convert to fraction form
    2,546.44/3,846.66 = 3,846.66/x
  3. Step 3: Cross multiply
    2,546.44x = 3,846.66 × 3,846.66
  4. Step 4: Simplify right side
    2,546.44x = 14,796,764.31
  5. Step 5: Solve for x
    x = 14,796,764.31/2,546.44
  6. Step 6: Final answer
    x = 5,810.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.