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Finding the Third Proportional to 19,538 and 39,556

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Solution

The third proportional to 19,538 and 39,556 is: 80,083.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538 : 39,556 = 39,556 : x
  2. Step 2: Convert to fraction form
    19,538/39,556 = 39,556/x
  3. Step 3: Cross multiply
    19,538x = 39,556 × 39,556
  4. Step 4: Simplify right side
    19,538x = 1,564,677,136
  5. Step 5: Solve for x
    x = 1,564,677,136/19,538
  6. Step 6: Final answer
    x = 80,083.79

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.