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Finding the Third Proportional to 22,530 and 47,976

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Solution

The third proportional to 22,530 and 47,976 is: 102,161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,530 : 47,976 = 47,976 : x
  2. Step 2: Convert to fraction form
    22,530/47,976 = 47,976/x
  3. Step 3: Cross multiply
    22,530x = 47,976 × 47,976
  4. Step 4: Simplify right side
    22,530x = 2,301,696,576
  5. Step 5: Solve for x
    x = 2,301,696,576/22,530
  6. Step 6: Final answer
    x = 102,161.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.