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Finding the Third Proportional to 6,408.75 and 9,365.25

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Solution

The third proportional to 6,408.75 and 9,365.25 is: 13,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.75 : 9,365.25 = 9,365.25 : x
  2. Step 2: Convert to fraction form
    6,408.75/9,365.25 = 9,365.25/x
  3. Step 3: Cross multiply
    6,408.75x = 9,365.25 × 9,365.25
  4. Step 4: Simplify right side
    6,408.75x = 87,707,907.56
  5. Step 5: Solve for x
    x = 87,707,907.56/6,408.75
  6. Step 6: Final answer
    x = 13,685.65

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.