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Finding the Third Proportional to 18,300 and 38,035

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Solution

The third proportional to 18,300 and 38,035 is: 79,052.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,300 : 38,035 = 38,035 : x
  2. Step 2: Convert to fraction form
    18,300/38,035 = 38,035/x
  3. Step 3: Cross multiply
    18,300x = 38,035 × 38,035
  4. Step 4: Simplify right side
    18,300x = 1,446,661,225
  5. Step 5: Solve for x
    x = 1,446,661,225/18,300
  6. Step 6: Final answer
    x = 79,052.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.