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Finding the Third Proportional to 2,450.67 and 3,698.79

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Solution

The third proportional to 2,450.67 and 3,698.79 is: 5,582.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.67 : 3,698.79 = 3,698.79 : x
  2. Step 2: Convert to fraction form
    2,450.67/3,698.79 = 3,698.79/x
  3. Step 3: Cross multiply
    2,450.67x = 3,698.79 × 3,698.79
  4. Step 4: Simplify right side
    2,450.67x = 13,681,040.53
  5. Step 5: Solve for x
    x = 13,681,040.53/2,450.67
  6. Step 6: Final answer
    x = 5,582.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.