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Finding the Third Proportional to 5,108.06 and 10,471.78

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Solution

The third proportional to 5,108.06 and 10,471.78 is: 21,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.06 : 10,471.78 = 10,471.78 : x
  2. Step 2: Convert to fraction form
    5,108.06/10,471.78 = 10,471.78/x
  3. Step 3: Cross multiply
    5,108.06x = 10,471.78 × 10,471.78
  4. Step 4: Simplify right side
    5,108.06x = 109,658,202.55
  5. Step 5: Solve for x
    x = 109,658,202.55/5,108.06
  6. Step 6: Final answer
    x = 21,467.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.