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Finding the Third Proportional to 3,408.75 and 7,845.19

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Solution

The third proportional to 3,408.75 and 7,845.19 is: 18,055.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.75 : 7,845.19 = 7,845.19 : x
  2. Step 2: Convert to fraction form
    3,408.75/7,845.19 = 7,845.19/x
  3. Step 3: Cross multiply
    3,408.75x = 7,845.19 × 7,845.19
  4. Step 4: Simplify right side
    3,408.75x = 61,546,966.91
  5. Step 5: Solve for x
    x = 61,546,966.91/3,408.75
  6. Step 6: Final answer
    x = 18,055.58

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.