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Finding the Third Proportional to 5,482.38 and 11,840.38

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Solution

The third proportional to 5,482.38 and 11,840.38 is: 25,571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.38 : 11,840.38 = 11,840.38 : x
  2. Step 2: Convert to fraction form
    5,482.38/11,840.38 = 11,840.38/x
  3. Step 3: Cross multiply
    5,482.38x = 11,840.38 × 11,840.38
  4. Step 4: Simplify right side
    5,482.38x = 140,194,480.14
  5. Step 5: Solve for x
    x = 140,194,480.14/5,482.38
  6. Step 6: Final answer
    x = 25,571.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.