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Finding the Third Proportional to 20,224 and 33,024

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Solution

The third proportional to 20,224 and 33,024 is: 53,925.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224 : 33,024 = 33,024 : x
  2. Step 2: Convert to fraction form
    20,224/33,024 = 33,024/x
  3. Step 3: Cross multiply
    20,224x = 33,024 × 33,024
  4. Step 4: Simplify right side
    20,224x = 1,090,584,576
  5. Step 5: Solve for x
    x = 1,090,584,576/20,224
  6. Step 6: Final answer
    x = 53,925.27

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.