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Finding the Third Proportional to 2,082.38 and 4,890.94

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Solution

The third proportional to 2,082.38 and 4,890.94 is: 11,487.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.38 : 4,890.94 = 4,890.94 : x
  2. Step 2: Convert to fraction form
    2,082.38/4,890.94 = 4,890.94/x
  3. Step 3: Cross multiply
    2,082.38x = 4,890.94 × 4,890.94
  4. Step 4: Simplify right side
    2,082.38x = 23,921,269.63
  5. Step 5: Solve for x
    x = 23,921,269.63/2,082.38
  6. Step 6: Final answer
    x = 11,487.49

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.