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Finding the Third Proportional to 36,592 and 52,872

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Solution

The third proportional to 36,592 and 52,872 is: 76,395.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,592 : 52,872 = 52,872 : x
  2. Step 2: Convert to fraction form
    36,592/52,872 = 52,872/x
  3. Step 3: Cross multiply
    36,592x = 52,872 × 52,872
  4. Step 4: Simplify right side
    36,592x = 2,795,448,384
  5. Step 5: Solve for x
    x = 2,795,448,384/36,592
  6. Step 6: Final answer
    x = 76,395.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.