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Finding the Third Proportional to 20,512 and 30,736

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Solution

The third proportional to 20,512 and 30,736 is: 46,056.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512 : 30,736 = 30,736 : x
  2. Step 2: Convert to fraction form
    20,512/30,736 = 30,736/x
  3. Step 3: Cross multiply
    20,512x = 30,736 × 30,736
  4. Step 4: Simplify right side
    20,512x = 944,701,696
  5. Step 5: Solve for x
    x = 944,701,696/20,512
  6. Step 6: Final answer
    x = 46,056.05

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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.