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Finding the Third Proportional to 28,404 and 33,021

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Solution

The third proportional to 28,404 and 33,021 is: 38,388.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,404 : 33,021 = 33,021 : x
  2. Step 2: Convert to fraction form
    28,404/33,021 = 33,021/x
  3. Step 3: Cross multiply
    28,404x = 33,021 × 33,021
  4. Step 4: Simplify right side
    28,404x = 1,090,386,441
  5. Step 5: Solve for x
    x = 1,090,386,441/28,404
  6. Step 6: Final answer
    x = 38,388.48

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.