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Finding the Third Proportional to 20,018 and 28,834

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Solution

The third proportional to 20,018 and 28,834 is: 41,532.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,018 : 28,834 = 28,834 : x
  2. Step 2: Convert to fraction form
    20,018/28,834 = 28,834/x
  3. Step 3: Cross multiply
    20,018x = 28,834 × 28,834
  4. Step 4: Simplify right side
    20,018x = 831,399,556
  5. Step 5: Solve for x
    x = 831,399,556/20,018
  6. Step 6: Final answer
    x = 41,532.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.