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Finding the Third Proportional to 2,483 and 2,766.50

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Solution

The third proportional to 2,483 and 2,766.50 is: 3,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483 : 2,766.50 = 2,766.50 : x
  2. Step 2: Convert to fraction form
    2,483/2,766.50 = 2,766.50/x
  3. Step 3: Cross multiply
    2,483x = 2,766.50 × 2,766.50
  4. Step 4: Simplify right side
    2,483x = 7,653,522.25
  5. Step 5: Solve for x
    x = 7,653,522.25/2,483
  6. Step 6: Final answer
    x = 3,082.37

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.