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Finding the Third Proportional to 37,269 and 80,480

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Solution

The third proportional to 37,269 and 80,480 is: 173,791.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,269 : 80,480 = 80,480 : x
  2. Step 2: Convert to fraction form
    37,269/80,480 = 80,480/x
  3. Step 3: Cross multiply
    37,269x = 80,480 × 80,480
  4. Step 4: Simplify right side
    37,269x = 6,477,030,400
  5. Step 5: Solve for x
    x = 6,477,030,400/37,269
  6. Step 6: Final answer
    x = 173,791.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.