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Finding the Third Proportional to 5,082.75 and 7,813.97

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Solution

The third proportional to 5,082.75 and 7,813.97 is: 12,012.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.75 : 7,813.97 = 7,813.97 : x
  2. Step 2: Convert to fraction form
    5,082.75/7,813.97 = 7,813.97/x
  3. Step 3: Cross multiply
    5,082.75x = 7,813.97 × 7,813.97
  4. Step 4: Simplify right side
    5,082.75x = 61,058,107.63
  5. Step 5: Solve for x
    x = 61,058,107.63/5,082.75
  6. Step 6: Final answer
    x = 12,012.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.