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Finding the Third Proportional to 20,698 and 43,271

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Solution

The third proportional to 20,698 and 43,271 is: 90,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,698 : 43,271 = 43,271 : x
  2. Step 2: Convert to fraction form
    20,698/43,271 = 43,271/x
  3. Step 3: Cross multiply
    20,698x = 43,271 × 43,271
  4. Step 4: Simplify right side
    20,698x = 1,872,379,441
  5. Step 5: Solve for x
    x = 1,872,379,441/20,698
  6. Step 6: Final answer
    x = 90,461.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.