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Finding the Third Proportional to 4,093.88 and 9,623.06

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Solution

The third proportional to 4,093.88 and 9,623.06 is: 22,619.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.88 : 9,623.06 = 9,623.06 : x
  2. Step 2: Convert to fraction form
    4,093.88/9,623.06 = 9,623.06/x
  3. Step 3: Cross multiply
    4,093.88x = 9,623.06 × 9,623.06
  4. Step 4: Simplify right side
    4,093.88x = 92,603,331.88
  5. Step 5: Solve for x
    x = 92,603,331.88/4,093.88
  6. Step 6: Final answer
    x = 22,619.97

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Why These Related Problems?

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