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Finding the Third Proportional to 39,936 and 52,992

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Solution

The third proportional to 39,936 and 52,992 is: 70,316.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,936 : 52,992 = 52,992 : x
  2. Step 2: Convert to fraction form
    39,936/52,992 = 52,992/x
  3. Step 3: Cross multiply
    39,936x = 52,992 × 52,992
  4. Step 4: Simplify right side
    39,936x = 2,808,152,064
  5. Step 5: Solve for x
    x = 2,808,152,064/39,936
  6. Step 6: Final answer
    x = 70,316.31

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.