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Finding the Third Proportional to 6,415.88 and 14,183.44

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Solution

The third proportional to 6,415.88 and 14,183.44 is: 31,355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.88 : 14,183.44 = 14,183.44 : x
  2. Step 2: Convert to fraction form
    6,415.88/14,183.44 = 14,183.44/x
  3. Step 3: Cross multiply
    6,415.88x = 14,183.44 × 14,183.44
  4. Step 4: Simplify right side
    6,415.88x = 201,169,899.32
  5. Step 5: Solve for x
    x = 201,169,899.32/6,415.88
  6. Step 6: Final answer
    x = 31,355.02

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.