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Finding the Third Proportional to 2,700.84 and 3,961.41

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Solution

The third proportional to 2,700.84 and 3,961.41 is: 5,810.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.84 : 3,961.41 = 3,961.41 : x
  2. Step 2: Convert to fraction form
    2,700.84/3,961.41 = 3,961.41/x
  3. Step 3: Cross multiply
    2,700.84x = 3,961.41 × 3,961.41
  4. Step 4: Simplify right side
    2,700.84x = 15,692,739.48
  5. Step 5: Solve for x
    x = 15,692,739.48/2,700.84
  6. Step 6: Final answer
    x = 5,810.31

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.