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Finding the Third Proportional to 17,729.50 and 36,372.50

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Solution

The third proportional to 17,729.50 and 36,372.50 is: 74,619.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729.50 : 36,372.50 = 36,372.50 : x
  2. Step 2: Convert to fraction form
    17,729.50/36,372.50 = 36,372.50/x
  3. Step 3: Cross multiply
    17,729.50x = 36,372.50 × 36,372.50
  4. Step 4: Simplify right side
    17,729.50x = 1,322,958,756.25
  5. Step 5: Solve for x
    x = 1,322,958,756.25/17,729.50
  6. Step 6: Final answer
    x = 74,619.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.