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Finding the Third Proportional to 20,205 and 44,082

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Solution

The third proportional to 20,205 and 44,082 is: 96,175.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205 : 44,082 = 44,082 : x
  2. Step 2: Convert to fraction form
    20,205/44,082 = 44,082/x
  3. Step 3: Cross multiply
    20,205x = 44,082 × 44,082
  4. Step 4: Simplify right side
    20,205x = 1,943,222,724
  5. Step 5: Solve for x
    x = 1,943,222,724/20,205
  6. Step 6: Final answer
    x = 96,175.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.