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Finding the Third Proportional to 2,082 and 4,419.75

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Solution

The third proportional to 2,082 and 4,419.75 is: 9,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082 : 4,419.75 = 4,419.75 : x
  2. Step 2: Convert to fraction form
    2,082/4,419.75 = 4,419.75/x
  3. Step 3: Cross multiply
    2,082x = 4,419.75 × 4,419.75
  4. Step 4: Simplify right side
    2,082x = 19,534,190.06
  5. Step 5: Solve for x
    x = 19,534,190.06/2,082
  6. Step 6: Final answer
    x = 9,382.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.