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Finding the Third Proportional to 46,676 and 71,744

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Solution

The third proportional to 46,676 and 71,744 is: 110,275.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,676 : 71,744 = 71,744 : x
  2. Step 2: Convert to fraction form
    46,676/71,744 = 71,744/x
  3. Step 3: Cross multiply
    46,676x = 71,744 × 71,744
  4. Step 4: Simplify right side
    46,676x = 5,147,201,536
  5. Step 5: Solve for x
    x = 5,147,201,536/46,676
  6. Step 6: Final answer
    x = 110,275.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.