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Finding the Third Proportional to 6,087.66 and 14,625.56

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Solution

The third proportional to 6,087.66 and 14,625.56 is: 35,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,087.66 : 14,625.56 = 14,625.56 : x
  2. Step 2: Convert to fraction form
    6,087.66/14,625.56 = 14,625.56/x
  3. Step 3: Cross multiply
    6,087.66x = 14,625.56 × 14,625.56
  4. Step 4: Simplify right side
    6,087.66x = 213,907,078.44
  5. Step 5: Solve for x
    x = 213,907,078.44/6,087.66
  6. Step 6: Final answer
    x = 35,137.84

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.