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Finding the Third Proportional to 2,293.31 and 4,082.91

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Solution

The third proportional to 2,293.31 and 4,082.91 is: 7,269.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.31 : 4,082.91 = 4,082.91 : x
  2. Step 2: Convert to fraction form
    2,293.31/4,082.91 = 4,082.91/x
  3. Step 3: Cross multiply
    2,293.31x = 4,082.91 × 4,082.91
  4. Step 4: Simplify right side
    2,293.31x = 16,670,123.45
  5. Step 5: Solve for x
    x = 16,670,123.45/2,293.31
  6. Step 6: Final answer
    x = 7,269.02

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.