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Finding the Third Proportional to 36,546 and 79,692

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Solution

The third proportional to 36,546 and 79,692 is: 173,775.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,546 : 79,692 = 79,692 : x
  2. Step 2: Convert to fraction form
    36,546/79,692 = 79,692/x
  3. Step 3: Cross multiply
    36,546x = 79,692 × 79,692
  4. Step 4: Simplify right side
    36,546x = 6,350,814,864
  5. Step 5: Solve for x
    x = 6,350,814,864/36,546
  6. Step 6: Final answer
    x = 173,775.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.