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Finding the Third Proportional to 27,909 and 40,830.75

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Solution

The third proportional to 27,909 and 40,830.75 is: 59,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,909 : 40,830.75 = 40,830.75 : x
  2. Step 2: Convert to fraction form
    27,909/40,830.75 = 40,830.75/x
  3. Step 3: Cross multiply
    27,909x = 40,830.75 × 40,830.75
  4. Step 4: Simplify right side
    27,909x = 1,667,150,145.56
  5. Step 5: Solve for x
    x = 1,667,150,145.56/27,909
  6. Step 6: Final answer
    x = 59,735.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.