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Finding the Third Proportional to 37,935 and 76,945

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Solution

The third proportional to 37,935 and 76,945 is: 156,070.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,935 : 76,945 = 76,945 : x
  2. Step 2: Convert to fraction form
    37,935/76,945 = 76,945/x
  3. Step 3: Cross multiply
    37,935x = 76,945 × 76,945
  4. Step 4: Simplify right side
    37,935x = 5,920,533,025
  5. Step 5: Solve for x
    x = 5,920,533,025/37,935
  6. Step 6: Final answer
    x = 156,070.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.