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Finding the Third Proportional to 22,064 and 43,021

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Solution

The third proportional to 22,064 and 43,021 is: 83,883.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,064 : 43,021 = 43,021 : x
  2. Step 2: Convert to fraction form
    22,064/43,021 = 43,021/x
  3. Step 3: Cross multiply
    22,064x = 43,021 × 43,021
  4. Step 4: Simplify right side
    22,064x = 1,850,806,441
  5. Step 5: Solve for x
    x = 1,850,806,441/22,064
  6. Step 6: Final answer
    x = 83,883.54

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.