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Finding the Third Proportional to 20,128 and 33,065

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Solution

The third proportional to 20,128 and 33,065 is: 54,317.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,128 : 33,065 = 33,065 : x
  2. Step 2: Convert to fraction form
    20,128/33,065 = 33,065/x
  3. Step 3: Cross multiply
    20,128x = 33,065 × 33,065
  4. Step 4: Simplify right side
    20,128x = 1,093,294,225
  5. Step 5: Solve for x
    x = 1,093,294,225/20,128
  6. Step 6: Final answer
    x = 54,317.08

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.