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Finding the Third Proportional to 2,603.63 and 3,908.81

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Solution

The third proportional to 2,603.63 and 3,908.81 is: 5,868.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.63 : 3,908.81 = 3,908.81 : x
  2. Step 2: Convert to fraction form
    2,603.63/3,908.81 = 3,908.81/x
  3. Step 3: Cross multiply
    2,603.63x = 3,908.81 × 3,908.81
  4. Step 4: Simplify right side
    2,603.63x = 15,278,815.16
  5. Step 5: Solve for x
    x = 15,278,815.16/2,603.63
  6. Step 6: Final answer
    x = 5,868.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.