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Finding the Third Proportional to 39,024 and 52,728

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Solution

The third proportional to 39,024 and 52,728 is: 71,244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,024 : 52,728 = 52,728 : x
  2. Step 2: Convert to fraction form
    39,024/52,728 = 52,728/x
  3. Step 3: Cross multiply
    39,024x = 52,728 × 52,728
  4. Step 4: Simplify right side
    39,024x = 2,780,241,984
  5. Step 5: Solve for x
    x = 2,780,241,984/39,024
  6. Step 6: Final answer
    x = 71,244.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.