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Finding the Third Proportional to 2,235.94 and 4,855.97

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Solution

The third proportional to 2,235.94 and 4,855.97 is: 10,546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.94 : 4,855.97 = 4,855.97 : x
  2. Step 2: Convert to fraction form
    2,235.94/4,855.97 = 4,855.97/x
  3. Step 3: Cross multiply
    2,235.94x = 4,855.97 × 4,855.97
  4. Step 4: Simplify right side
    2,235.94x = 23,580,432.50
  5. Step 5: Solve for x
    x = 23,580,432.50/2,235.94
  6. Step 6: Final answer
    x = 10,546.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.