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Finding the Third Proportional to 6,186.18 and 8,404.68

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Solution

The third proportional to 6,186.18 and 8,404.68 is: 11,418.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.18 : 8,404.68 = 8,404.68 : x
  2. Step 2: Convert to fraction form
    6,186.18/8,404.68 = 8,404.68/x
  3. Step 3: Cross multiply
    6,186.18x = 8,404.68 × 8,404.68
  4. Step 4: Simplify right side
    6,186.18x = 70,638,636.55
  5. Step 5: Solve for x
    x = 70,638,636.55/6,186.18
  6. Step 6: Final answer
    x = 11,418.79

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.