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Finding the Third Proportional to 37,354 and 80,930

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Solution

The third proportional to 37,354 and 80,930 is: 175,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,354 : 80,930 = 80,930 : x
  2. Step 2: Convert to fraction form
    37,354/80,930 = 80,930/x
  3. Step 3: Cross multiply
    37,354x = 80,930 × 80,930
  4. Step 4: Simplify right side
    37,354x = 6,549,664,900
  5. Step 5: Solve for x
    x = 6,549,664,900/37,354
  6. Step 6: Final answer
    x = 175,340.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.