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Finding the Third Proportional to 17,830.13 and 36,171.56

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Solution

The third proportional to 17,830.13 and 36,171.56 is: 73,380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.13 : 36,171.56 = 36,171.56 : x
  2. Step 2: Convert to fraction form
    17,830.13/36,171.56 = 36,171.56/x
  3. Step 3: Cross multiply
    17,830.13x = 36,171.56 × 36,171.56
  4. Step 4: Simplify right side
    17,830.13x = 1,308,381,933.69
  5. Step 5: Solve for x
    x = 1,308,381,933.69/17,830.13
  6. Step 6: Final answer
    x = 73,380.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.