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Finding the Third Proportional to 3,005.44 and 6,454.69

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Solution

The third proportional to 3,005.44 and 6,454.69 is: 13,862.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.44 : 6,454.69 = 6,454.69 : x
  2. Step 2: Convert to fraction form
    3,005.44/6,454.69 = 6,454.69/x
  3. Step 3: Cross multiply
    3,005.44x = 6,454.69 × 6,454.69
  4. Step 4: Simplify right side
    3,005.44x = 41,662,990.72
  5. Step 5: Solve for x
    x = 41,662,990.72/3,005.44
  6. Step 6: Final answer
    x = 13,862.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.