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Finding the Third Proportional to 19,801 and 41,235

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Solution

The third proportional to 19,801 and 41,235 is: 85,870.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,801 : 41,235 = 41,235 : x
  2. Step 2: Convert to fraction form
    19,801/41,235 = 41,235/x
  3. Step 3: Cross multiply
    19,801x = 41,235 × 41,235
  4. Step 4: Simplify right side
    19,801x = 1,700,325,225
  5. Step 5: Solve for x
    x = 1,700,325,225/19,801
  6. Step 6: Final answer
    x = 85,870.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.