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Finding the Third Proportional to 20,197 and 44,239

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Solution

The third proportional to 20,197 and 44,239 is: 96,899.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197 : 44,239 = 44,239 : x
  2. Step 2: Convert to fraction form
    20,197/44,239 = 44,239/x
  3. Step 3: Cross multiply
    20,197x = 44,239 × 44,239
  4. Step 4: Simplify right side
    20,197x = 1,957,089,121
  5. Step 5: Solve for x
    x = 1,957,089,121/20,197
  6. Step 6: Final answer
    x = 96,899.99

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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.