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Finding the Third Proportional to 1,129.10 and 2,286.67

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Solution

The third proportional to 1,129.10 and 2,286.67 is: 4,631.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.10 : 2,286.67 = 2,286.67 : x
  2. Step 2: Convert to fraction form
    1,129.10/2,286.67 = 2,286.67/x
  3. Step 3: Cross multiply
    1,129.10x = 2,286.67 × 2,286.67
  4. Step 4: Simplify right side
    1,129.10x = 5,228,850.40
  5. Step 5: Solve for x
    x = 5,228,850.40/1,129.10
  6. Step 6: Final answer
    x = 4,631.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.