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Finding the Third Proportional to 2,116.79 and 3,230.44

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Solution

The third proportional to 2,116.79 and 3,230.44 is: 4,930.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.79 : 3,230.44 = 3,230.44 : x
  2. Step 2: Convert to fraction form
    2,116.79/3,230.44 = 3,230.44/x
  3. Step 3: Cross multiply
    2,116.79x = 3,230.44 × 3,230.44
  4. Step 4: Simplify right side
    2,116.79x = 10,435,765.48
  5. Step 5: Solve for x
    x = 10,435,765.48/2,116.79
  6. Step 6: Final answer
    x = 4,930.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.