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Finding the Third Proportional to 2,133.21 and 3,091.61

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Solution

The third proportional to 2,133.21 and 3,091.61 is: 4,480.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.21 : 3,091.61 = 3,091.61 : x
  2. Step 2: Convert to fraction form
    2,133.21/3,091.61 = 3,091.61/x
  3. Step 3: Cross multiply
    2,133.21x = 3,091.61 × 3,091.61
  4. Step 4: Simplify right side
    2,133.21x = 9,558,024.37
  5. Step 5: Solve for x
    x = 9,558,024.37/2,133.21
  6. Step 6: Final answer
    x = 4,480.58

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.