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Finding the Third Proportional to 2,203.50 and 4,808.94

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Solution

The third proportional to 2,203.50 and 4,808.94 is: 10,495.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.50 : 4,808.94 = 4,808.94 : x
  2. Step 2: Convert to fraction form
    2,203.50/4,808.94 = 4,808.94/x
  3. Step 3: Cross multiply
    2,203.50x = 4,808.94 × 4,808.94
  4. Step 4: Simplify right side
    2,203.50x = 23,125,879.88
  5. Step 5: Solve for x
    x = 23,125,879.88/2,203.50
  6. Step 6: Final answer
    x = 10,495.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.