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Finding the Third Proportional to 42,674 and 66,945

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Solution

The third proportional to 42,674 and 66,945 is: 105,020.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,674 : 66,945 = 66,945 : x
  2. Step 2: Convert to fraction form
    42,674/66,945 = 66,945/x
  3. Step 3: Cross multiply
    42,674x = 66,945 × 66,945
  4. Step 4: Simplify right side
    42,674x = 4,481,633,025
  5. Step 5: Solve for x
    x = 4,481,633,025/42,674
  6. Step 6: Final answer
    x = 105,020.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.