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Finding the Third Proportional to 3,782.06 and 6,006.94

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Solution

The third proportional to 3,782.06 and 6,006.94 is: 9,540.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.06 : 6,006.94 = 6,006.94 : x
  2. Step 2: Convert to fraction form
    3,782.06/6,006.94 = 6,006.94/x
  3. Step 3: Cross multiply
    3,782.06x = 6,006.94 × 6,006.94
  4. Step 4: Simplify right side
    3,782.06x = 36,083,298.13
  5. Step 5: Solve for x
    x = 36,083,298.13/3,782.06
  6. Step 6: Final answer
    x = 9,540.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.