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Finding the Third Proportional to 2,311.50 and 5,055

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Solution

The third proportional to 2,311.50 and 5,055 is: 11,054.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.50 : 5,055 = 5,055 : x
  2. Step 2: Convert to fraction form
    2,311.50/5,055 = 5,055/x
  3. Step 3: Cross multiply
    2,311.50x = 5,055 × 5,055
  4. Step 4: Simplify right side
    2,311.50x = 25,553,025
  5. Step 5: Solve for x
    x = 25,553,025/2,311.50
  6. Step 6: Final answer
    x = 11,054.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.