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Finding the Third Proportional to 27,975 and 42,233

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Solution

The third proportional to 27,975 and 42,233 is: 63,757.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,975 : 42,233 = 42,233 : x
  2. Step 2: Convert to fraction form
    27,975/42,233 = 42,233/x
  3. Step 3: Cross multiply
    27,975x = 42,233 × 42,233
  4. Step 4: Simplify right side
    27,975x = 1,783,626,289
  5. Step 5: Solve for x
    x = 1,783,626,289/27,975
  6. Step 6: Final answer
    x = 63,757.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.