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Finding the Third Proportional to 30,456 and 45,836

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Solution

The third proportional to 30,456 and 45,836 is: 68,982.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,456 : 45,836 = 45,836 : x
  2. Step 2: Convert to fraction form
    30,456/45,836 = 45,836/x
  3. Step 3: Cross multiply
    30,456x = 45,836 × 45,836
  4. Step 4: Simplify right side
    30,456x = 2,100,938,896
  5. Step 5: Solve for x
    x = 2,100,938,896/30,456
  6. Step 6: Final answer
    x = 68,982.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.