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Finding the Third Proportional to 2,589.05 and 3,044.67

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Solution

The third proportional to 2,589.05 and 3,044.67 is: 3,580.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.05 : 3,044.67 = 3,044.67 : x
  2. Step 2: Convert to fraction form
    2,589.05/3,044.67 = 3,044.67/x
  3. Step 3: Cross multiply
    2,589.05x = 3,044.67 × 3,044.67
  4. Step 4: Simplify right side
    2,589.05x = 9,270,026.83
  5. Step 5: Solve for x
    x = 9,270,026.83/2,589.05
  6. Step 6: Final answer
    x = 3,580.48

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.