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Finding the Third Proportional to 2,336.91 and 4,890.09

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Solution

The third proportional to 2,336.91 and 4,890.09 is: 10,232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.91 : 4,890.09 = 4,890.09 : x
  2. Step 2: Convert to fraction form
    2,336.91/4,890.09 = 4,890.09/x
  3. Step 3: Cross multiply
    2,336.91x = 4,890.09 × 4,890.09
  4. Step 4: Simplify right side
    2,336.91x = 23,913,016.88
  5. Step 5: Solve for x
    x = 23,913,016.88/2,336.91
  6. Step 6: Final answer
    x = 10,232.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.