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Finding the Third Proportional to 1,540.69 and 3,302.44

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Solution

The third proportional to 1,540.69 and 3,302.44 is: 7,078.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.69 : 3,302.44 = 3,302.44 : x
  2. Step 2: Convert to fraction form
    1,540.69/3,302.44 = 3,302.44/x
  3. Step 3: Cross multiply
    1,540.69x = 3,302.44 × 3,302.44
  4. Step 4: Simplify right side
    1,540.69x = 10,906,093.44
  5. Step 5: Solve for x
    x = 10,906,093.44/1,540.69
  6. Step 6: Final answer
    x = 7,078.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.