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Finding the Third Proportional to 18,499.50 and 30,203.25

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Solution

The third proportional to 18,499.50 and 30,203.25 is: 49,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,499.50 : 30,203.25 = 30,203.25 : x
  2. Step 2: Convert to fraction form
    18,499.50/30,203.25 = 30,203.25/x
  3. Step 3: Cross multiply
    18,499.50x = 30,203.25 × 30,203.25
  4. Step 4: Simplify right side
    18,499.50x = 912,236,310.56
  5. Step 5: Solve for x
    x = 912,236,310.56/18,499.50
  6. Step 6: Final answer
    x = 49,311.40

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.