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Finding the Third Proportional to 18,225 and 30,253.50

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Solution

The third proportional to 18,225 and 30,253.50 is: 50,220.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,225 : 30,253.50 = 30,253.50 : x
  2. Step 2: Convert to fraction form
    18,225/30,253.50 = 30,253.50/x
  3. Step 3: Cross multiply
    18,225x = 30,253.50 × 30,253.50
  4. Step 4: Simplify right side
    18,225x = 915,274,262.25
  5. Step 5: Solve for x
    x = 915,274,262.25/18,225
  6. Step 6: Final answer
    x = 50,220.81

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.