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Finding the Third Proportional to 1,246.88 and 2,622.88

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Solution

The third proportional to 1,246.88 and 2,622.88 is: 5,517.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.88 : 2,622.88 = 2,622.88 : x
  2. Step 2: Convert to fraction form
    1,246.88/2,622.88 = 2,622.88/x
  3. Step 3: Cross multiply
    1,246.88x = 2,622.88 × 2,622.88
  4. Step 4: Simplify right side
    1,246.88x = 6,879,473.27
  5. Step 5: Solve for x
    x = 6,879,473.27/1,246.88
  6. Step 6: Final answer
    x = 5,517.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.