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Finding the Third Proportional to 32,262 and 50,696

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Solution

The third proportional to 32,262 and 50,696 is: 79,662.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,262 : 50,696 = 50,696 : x
  2. Step 2: Convert to fraction form
    32,262/50,696 = 50,696/x
  3. Step 3: Cross multiply
    32,262x = 50,696 × 50,696
  4. Step 4: Simplify right side
    32,262x = 2,570,084,416
  5. Step 5: Solve for x
    x = 2,570,084,416/32,262
  6. Step 6: Final answer
    x = 79,662.90

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.