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Finding the Third Proportional to 20,119 and 33,023

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Solution

The third proportional to 20,119 and 33,023 is: 54,203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,119 : 33,023 = 33,023 : x
  2. Step 2: Convert to fraction form
    20,119/33,023 = 33,023/x
  3. Step 3: Cross multiply
    20,119x = 33,023 × 33,023
  4. Step 4: Simplify right side
    20,119x = 1,090,518,529
  5. Step 5: Solve for x
    x = 1,090,518,529/20,119
  6. Step 6: Final answer
    x = 54,203.42

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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.