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Finding the Third Proportional to 3,106.97 and 4,800.09

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Solution

The third proportional to 3,106.97 and 4,800.09 is: 7,415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.97 : 4,800.09 = 4,800.09 : x
  2. Step 2: Convert to fraction form
    3,106.97/4,800.09 = 4,800.09/x
  3. Step 3: Cross multiply
    3,106.97x = 4,800.09 × 4,800.09
  4. Step 4: Simplify right side
    3,106.97x = 23,040,900.01
  5. Step 5: Solve for x
    x = 23,040,900.01/3,106.97
  6. Step 6: Final answer
    x = 7,415.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.