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Finding the Third Proportional to 32,720 and 50,736

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Solution

The third proportional to 32,720 and 50,736 is: 78,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,720 : 50,736 = 50,736 : x
  2. Step 2: Convert to fraction form
    32,720/50,736 = 50,736/x
  3. Step 3: Cross multiply
    32,720x = 50,736 × 50,736
  4. Step 4: Simplify right side
    32,720x = 2,574,141,696
  5. Step 5: Solve for x
    x = 2,574,141,696/32,720
  6. Step 6: Final answer
    x = 78,671.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.