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Finding the Third Proportional to 4,099.88 and 9,625.31

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Solution

The third proportional to 4,099.88 and 9,625.31 is: 22,597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.88 : 9,625.31 = 9,625.31 : x
  2. Step 2: Convert to fraction form
    4,099.88/9,625.31 = 9,625.31/x
  3. Step 3: Cross multiply
    4,099.88x = 9,625.31 × 9,625.31
  4. Step 4: Simplify right side
    4,099.88x = 92,646,640.72
  5. Step 5: Solve for x
    x = 92,646,640.72/4,099.88
  6. Step 6: Final answer
    x = 22,597.43

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.