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Finding the Third Proportional to 20,106 and 40,823

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Solution

The third proportional to 20,106 and 40,823 is: 82,886.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106 : 40,823 = 40,823 : x
  2. Step 2: Convert to fraction form
    20,106/40,823 = 40,823/x
  3. Step 3: Cross multiply
    20,106x = 40,823 × 40,823
  4. Step 4: Simplify right side
    20,106x = 1,666,517,329
  5. Step 5: Solve for x
    x = 1,666,517,329/20,106
  6. Step 6: Final answer
    x = 82,886.57

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.