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Finding the Third Proportional to 20,271 and 44,538

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Solution

The third proportional to 20,271 and 44,538 is: 97,855.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,271 : 44,538 = 44,538 : x
  2. Step 2: Convert to fraction form
    20,271/44,538 = 44,538/x
  3. Step 3: Cross multiply
    20,271x = 44,538 × 44,538
  4. Step 4: Simplify right side
    20,271x = 1,983,633,444
  5. Step 5: Solve for x
    x = 1,983,633,444/20,271
  6. Step 6: Final answer
    x = 97,855.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.