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Finding the Third Proportional to 2,244 and 3,022.50

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Solution

The third proportional to 2,244 and 3,022.50 is: 4,071.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244 : 3,022.50 = 3,022.50 : x
  2. Step 2: Convert to fraction form
    2,244/3,022.50 = 3,022.50/x
  3. Step 3: Cross multiply
    2,244x = 3,022.50 × 3,022.50
  4. Step 4: Simplify right side
    2,244x = 9,135,506.25
  5. Step 5: Solve for x
    x = 9,135,506.25/2,244
  6. Step 6: Final answer
    x = 4,071.08

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.