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Finding the Third Proportional to 1,246.22 and 2,963.67

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Solution

The third proportional to 1,246.22 and 2,963.67 is: 7,048.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.22 : 2,963.67 = 2,963.67 : x
  2. Step 2: Convert to fraction form
    1,246.22/2,963.67 = 2,963.67/x
  3. Step 3: Cross multiply
    1,246.22x = 2,963.67 × 2,963.67
  4. Step 4: Simplify right side
    1,246.22x = 8,783,350.98
  5. Step 5: Solve for x
    x = 8,783,350.98/1,246.22
  6. Step 6: Final answer
    x = 7,048.00

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.