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Finding the Third Proportional to 2,093.98 and 3,054.11

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Solution

The third proportional to 2,093.98 and 3,054.11 is: 4,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.98 : 3,054.11 = 3,054.11 : x
  2. Step 2: Convert to fraction form
    2,093.98/3,054.11 = 3,054.11/x
  3. Step 3: Cross multiply
    2,093.98x = 3,054.11 × 3,054.11
  4. Step 4: Simplify right side
    2,093.98x = 9,327,596.00
  5. Step 5: Solve for x
    x = 9,327,596.00/2,093.98
  6. Step 6: Final answer
    x = 4,454.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.