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Finding the Third Proportional to 18,709.75 and 40,013.75

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Solution

The third proportional to 18,709.75 and 40,013.75 is: 85,575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,709.75 : 40,013.75 = 40,013.75 : x
  2. Step 2: Convert to fraction form
    18,709.75/40,013.75 = 40,013.75/x
  3. Step 3: Cross multiply
    18,709.75x = 40,013.75 × 40,013.75
  4. Step 4: Simplify right side
    18,709.75x = 1,601,100,189.06
  5. Step 5: Solve for x
    x = 1,601,100,189.06/18,709.75
  6. Step 6: Final answer
    x = 85,575.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.