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Finding the Third Proportional to 18,486 and 30,035.50

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Solution

The third proportional to 18,486 and 30,035.50 is: 48,800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,486 : 30,035.50 = 30,035.50 : x
  2. Step 2: Convert to fraction form
    18,486/30,035.50 = 30,035.50/x
  3. Step 3: Cross multiply
    18,486x = 30,035.50 × 30,035.50
  4. Step 4: Simplify right side
    18,486x = 902,131,260.25
  5. Step 5: Solve for x
    x = 902,131,260.25/18,486
  6. Step 6: Final answer
    x = 48,800.78

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.