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Finding the Third Proportional to 2,018.25 and 2,978.44

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Solution

The third proportional to 2,018.25 and 2,978.44 is: 4,395.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.25 : 2,978.44 = 2,978.44 : x
  2. Step 2: Convert to fraction form
    2,018.25/2,978.44 = 2,978.44/x
  3. Step 3: Cross multiply
    2,018.25x = 2,978.44 × 2,978.44
  4. Step 4: Simplify right side
    2,018.25x = 8,871,089.94
  5. Step 5: Solve for x
    x = 8,871,089.94/2,018.25
  6. Step 6: Final answer
    x = 4,395.44

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.