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Finding the Third Proportional to 2,748.94 and 4,639.78

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Solution

The third proportional to 2,748.94 and 4,639.78 is: 7,831.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.94 : 4,639.78 = 4,639.78 : x
  2. Step 2: Convert to fraction form
    2,748.94/4,639.78 = 4,639.78/x
  3. Step 3: Cross multiply
    2,748.94x = 4,639.78 × 4,639.78
  4. Step 4: Simplify right side
    2,748.94x = 21,527,570.05
  5. Step 5: Solve for x
    x = 21,527,570.05/2,748.94
  6. Step 6: Final answer
    x = 7,831.23

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These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.