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Finding the Third Proportional to 9,311.84 and 21,850.07

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Solution

The third proportional to 9,311.84 and 21,850.07 is: 51,270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.84 : 21,850.07 = 21,850.07 : x
  2. Step 2: Convert to fraction form
    9,311.84/21,850.07 = 21,850.07/x
  3. Step 3: Cross multiply
    9,311.84x = 21,850.07 × 21,850.07
  4. Step 4: Simplify right side
    9,311.84x = 477,425,401.96
  5. Step 5: Solve for x
    x = 477,425,401.96/9,311.84
  6. Step 6: Final answer
    x = 51,270.81

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.