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Finding the Third Proportional to 37,935 and 80,370

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Solution

The third proportional to 37,935 and 80,370 is: 170,273.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,935 : 80,370 = 80,370 : x
  2. Step 2: Convert to fraction form
    37,935/80,370 = 80,370/x
  3. Step 3: Cross multiply
    37,935x = 80,370 × 80,370
  4. Step 4: Simplify right side
    37,935x = 6,459,336,900
  5. Step 5: Solve for x
    x = 6,459,336,900/37,935
  6. Step 6: Final answer
    x = 170,273.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.