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Finding the Third Proportional to 2,984.34 and 4,096.83

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Solution

The third proportional to 2,984.34 and 4,096.83 is: 5,624.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.34 : 4,096.83 = 4,096.83 : x
  2. Step 2: Convert to fraction form
    2,984.34/4,096.83 = 4,096.83/x
  3. Step 3: Cross multiply
    2,984.34x = 4,096.83 × 4,096.83
  4. Step 4: Simplify right side
    2,984.34x = 16,784,000.69
  5. Step 5: Solve for x
    x = 16,784,000.69/2,984.34
  6. Step 6: Final answer
    x = 5,624.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.