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Finding the Third Proportional to 36,546 and 79,860

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Solution

The third proportional to 36,546 and 79,860 is: 174,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,546 : 79,860 = 79,860 : x
  2. Step 2: Convert to fraction form
    36,546/79,860 = 79,860/x
  3. Step 3: Cross multiply
    36,546x = 79,860 × 79,860
  4. Step 4: Simplify right side
    36,546x = 6,377,619,600
  5. Step 5: Solve for x
    x = 6,377,619,600/36,546
  6. Step 6: Final answer
    x = 174,509.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.