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Finding the Third Proportional to 2,976.75 and 4,003.13

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Solution

The third proportional to 2,976.75 and 4,003.13 is: 5,383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.75 : 4,003.13 = 4,003.13 : x
  2. Step 2: Convert to fraction form
    2,976.75/4,003.13 = 4,003.13/x
  3. Step 3: Cross multiply
    2,976.75x = 4,003.13 × 4,003.13
  4. Step 4: Simplify right side
    2,976.75x = 16,025,009.77
  5. Step 5: Solve for x
    x = 16,025,009.77/2,976.75
  6. Step 6: Final answer
    x = 5,383.39

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.