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Finding the Third Proportional to 2,571.33 and 3,893.06

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Solution

The third proportional to 2,571.33 and 3,893.06 is: 5,894.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.33 : 3,893.06 = 3,893.06 : x
  2. Step 2: Convert to fraction form
    2,571.33/3,893.06 = 3,893.06/x
  3. Step 3: Cross multiply
    2,571.33x = 3,893.06 × 3,893.06
  4. Step 4: Simplify right side
    2,571.33x = 15,155,935.63
  5. Step 5: Solve for x
    x = 15,155,935.63/2,571.33
  6. Step 6: Final answer
    x = 5,894.21

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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.