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Finding the Third Proportional to 6,284.25 and 12,408.75

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Solution

The third proportional to 6,284.25 and 12,408.75 is: 24,502.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.25 : 12,408.75 = 12,408.75 : x
  2. Step 2: Convert to fraction form
    6,284.25/12,408.75 = 12,408.75/x
  3. Step 3: Cross multiply
    6,284.25x = 12,408.75 × 12,408.75
  4. Step 4: Simplify right side
    6,284.25x = 153,977,076.56
  5. Step 5: Solve for x
    x = 153,977,076.56/6,284.25
  6. Step 6: Final answer
    x = 24,502.06

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.