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Finding the Third Proportional to 1,083.94 and 2,281.22

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Solution

The third proportional to 1,083.94 and 2,281.22 is: 4,800.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.94 : 2,281.22 = 2,281.22 : x
  2. Step 2: Convert to fraction form
    1,083.94/2,281.22 = 2,281.22/x
  3. Step 3: Cross multiply
    1,083.94x = 2,281.22 × 2,281.22
  4. Step 4: Simplify right side
    1,083.94x = 5,203,958.99
  5. Step 5: Solve for x
    x = 5,203,958.99/1,083.94
  6. Step 6: Final answer
    x = 4,800.98

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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.