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Finding the Third Proportional to 3,795.54 and 8,338.36

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Solution

The third proportional to 3,795.54 and 8,338.36 is: 18,318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.54 : 8,338.36 = 8,338.36 : x
  2. Step 2: Convert to fraction form
    3,795.54/8,338.36 = 8,338.36/x
  3. Step 3: Cross multiply
    3,795.54x = 8,338.36 × 8,338.36
  4. Step 4: Simplify right side
    3,795.54x = 69,528,237.07
  5. Step 5: Solve for x
    x = 69,528,237.07/3,795.54
  6. Step 6: Final answer
    x = 18,318.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.