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Finding the Third Proportional to 9,522.56 and 21,900.38

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Solution

The third proportional to 9,522.56 and 21,900.38 is: 50,367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.56 : 21,900.38 = 21,900.38 : x
  2. Step 2: Convert to fraction form
    9,522.56/21,900.38 = 21,900.38/x
  3. Step 3: Cross multiply
    9,522.56x = 21,900.38 × 21,900.38
  4. Step 4: Simplify right side
    9,522.56x = 479,626,425.14
  5. Step 5: Solve for x
    x = 479,626,425.14/9,522.56
  6. Step 6: Final answer
    x = 50,367.37

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.