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Finding the Third Proportional to 4,828.50 and 11,163.38

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Solution

The third proportional to 4,828.50 and 11,163.38 is: 25,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828.50 : 11,163.38 = 11,163.38 : x
  2. Step 2: Convert to fraction form
    4,828.50/11,163.38 = 11,163.38/x
  3. Step 3: Cross multiply
    4,828.50x = 11,163.38 × 11,163.38
  4. Step 4: Simplify right side
    4,828.50x = 124,620,941.39
  5. Step 5: Solve for x
    x = 124,620,941.39/4,828.50
  6. Step 6: Final answer
    x = 25,809.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.