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Finding the Third Proportional to 18,903.50 and 40,696

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Solution

The third proportional to 18,903.50 and 40,696 is: 87,611.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,903.50 : 40,696 = 40,696 : x
  2. Step 2: Convert to fraction form
    18,903.50/40,696 = 40,696/x
  3. Step 3: Cross multiply
    18,903.50x = 40,696 × 40,696
  4. Step 4: Simplify right side
    18,903.50x = 1,656,164,416
  5. Step 5: Solve for x
    x = 1,656,164,416/18,903.50
  6. Step 6: Final answer
    x = 87,611.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.