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Finding the Third Proportional to 20,148 and 44,108

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Solution

The third proportional to 20,148 and 44,108 is: 96,561.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,148 : 44,108 = 44,108 : x
  2. Step 2: Convert to fraction form
    20,148/44,108 = 44,108/x
  3. Step 3: Cross multiply
    20,148x = 44,108 × 44,108
  4. Step 4: Simplify right side
    20,148x = 1,945,515,664
  5. Step 5: Solve for x
    x = 1,945,515,664/20,148
  6. Step 6: Final answer
    x = 96,561.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.