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Finding the Third Proportional to 1,494.34 and 3,054.69

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Solution

The third proportional to 1,494.34 and 3,054.69 is: 6,244.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.34 : 3,054.69 = 3,054.69 : x
  2. Step 2: Convert to fraction form
    1,494.34/3,054.69 = 3,054.69/x
  3. Step 3: Cross multiply
    1,494.34x = 3,054.69 × 3,054.69
  4. Step 4: Simplify right side
    1,494.34x = 9,331,115.72
  5. Step 5: Solve for x
    x = 9,331,115.72/1,494.34
  6. Step 6: Final answer
    x = 6,244.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.