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Finding the Third Proportional to 3,686.75 and 8,021.44

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Solution

The third proportional to 3,686.75 and 8,021.44 is: 17,452.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.75 : 8,021.44 = 8,021.44 : x
  2. Step 2: Convert to fraction form
    3,686.75/8,021.44 = 8,021.44/x
  3. Step 3: Cross multiply
    3,686.75x = 8,021.44 × 8,021.44
  4. Step 4: Simplify right side
    3,686.75x = 64,343,459.57
  5. Step 5: Solve for x
    x = 64,343,459.57/3,686.75
  6. Step 6: Final answer
    x = 17,452.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.