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Finding the Third Proportional to 3,766.03 and 5,379.22

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Solution

The third proportional to 3,766.03 and 5,379.22 is: 7,683.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.03 : 5,379.22 = 5,379.22 : x
  2. Step 2: Convert to fraction form
    3,766.03/5,379.22 = 5,379.22/x
  3. Step 3: Cross multiply
    3,766.03x = 5,379.22 × 5,379.22
  4. Step 4: Simplify right side
    3,766.03x = 28,936,036.39
  5. Step 5: Solve for x
    x = 28,936,036.39/3,766.03
  6. Step 6: Final answer
    x = 7,683.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.