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Finding the Third Proportional to 2,054.95 and 3,082.43

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Solution

The third proportional to 2,054.95 and 3,082.43 is: 4,623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.95 : 3,082.43 = 3,082.43 : x
  2. Step 2: Convert to fraction form
    2,054.95/3,082.43 = 3,082.43/x
  3. Step 3: Cross multiply
    2,054.95x = 3,082.43 × 3,082.43
  4. Step 4: Simplify right side
    2,054.95x = 9,501,372.78
  5. Step 5: Solve for x
    x = 9,501,372.78/2,054.95
  6. Step 6: Final answer
    x = 4,623.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.