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Finding the Third Proportional to 20,054 and 42,556

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Solution

The third proportional to 20,054 and 42,556 is: 90,306.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,054 : 42,556 = 42,556 : x
  2. Step 2: Convert to fraction form
    20,054/42,556 = 42,556/x
  3. Step 3: Cross multiply
    20,054x = 42,556 × 42,556
  4. Step 4: Simplify right side
    20,054x = 1,811,013,136
  5. Step 5: Solve for x
    x = 1,811,013,136/20,054
  6. Step 6: Final answer
    x = 90,306.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.