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Finding the Third Proportional to 2,082.94 and 3,099.94

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Solution

The third proportional to 2,082.94 and 3,099.94 is: 4,613.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.94 : 3,099.94 = 3,099.94 : x
  2. Step 2: Convert to fraction form
    2,082.94/3,099.94 = 3,099.94/x
  3. Step 3: Cross multiply
    2,082.94x = 3,099.94 × 3,099.94
  4. Step 4: Simplify right side
    2,082.94x = 9,609,612.50
  5. Step 5: Solve for x
    x = 9,609,612.50/2,082.94
  6. Step 6: Final answer
    x = 4,613.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.