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Finding the Third Proportional to 37,256 and 80,440

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Solution

The third proportional to 37,256 and 80,440 is: 173,679.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,256 : 80,440 = 80,440 : x
  2. Step 2: Convert to fraction form
    37,256/80,440 = 80,440/x
  3. Step 3: Cross multiply
    37,256x = 80,440 × 80,440
  4. Step 4: Simplify right side
    37,256x = 6,470,593,600
  5. Step 5: Solve for x
    x = 6,470,593,600/37,256
  6. Step 6: Final answer
    x = 173,679.24

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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.