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Finding the Third Proportional to 30,674 and 45,741

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Solution

The third proportional to 30,674 and 45,741 is: 68,208.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,674 : 45,741 = 45,741 : x
  2. Step 2: Convert to fraction form
    30,674/45,741 = 45,741/x
  3. Step 3: Cross multiply
    30,674x = 45,741 × 45,741
  4. Step 4: Simplify right side
    30,674x = 2,092,239,081
  5. Step 5: Solve for x
    x = 2,092,239,081/30,674
  6. Step 6: Final answer
    x = 68,208.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.