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Finding the Third Proportional to 20,774 and 33,024

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Solution

The third proportional to 20,774 and 33,024 is: 52,497.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,774 : 33,024 = 33,024 : x
  2. Step 2: Convert to fraction form
    20,774/33,024 = 33,024/x
  3. Step 3: Cross multiply
    20,774x = 33,024 × 33,024
  4. Step 4: Simplify right side
    20,774x = 1,090,584,576
  5. Step 5: Solve for x
    x = 1,090,584,576/20,774
  6. Step 6: Final answer
    x = 52,497.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.