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Finding the Third Proportional to 2,118.38 and 3,204.94

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Solution

The third proportional to 2,118.38 and 3,204.94 is: 4,848.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.38 : 3,204.94 = 3,204.94 : x
  2. Step 2: Convert to fraction form
    2,118.38/3,204.94 = 3,204.94/x
  3. Step 3: Cross multiply
    2,118.38x = 3,204.94 × 3,204.94
  4. Step 4: Simplify right side
    2,118.38x = 10,271,624.38
  5. Step 5: Solve for x
    x = 10,271,624.38/2,118.38
  6. Step 6: Final answer
    x = 4,848.82

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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.