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Finding the Third Proportional to 2,768.63 and 3,877.31

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Solution

The third proportional to 2,768.63 and 3,877.31 is: 5,429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.63 : 3,877.31 = 3,877.31 : x
  2. Step 2: Convert to fraction form
    2,768.63/3,877.31 = 3,877.31/x
  3. Step 3: Cross multiply
    2,768.63x = 3,877.31 × 3,877.31
  4. Step 4: Simplify right side
    2,768.63x = 15,033,552.22
  5. Step 5: Solve for x
    x = 15,033,552.22/2,768.63
  6. Step 6: Final answer
    x = 5,429.97

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.