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Finding the Third Proportional to 27,834 and 46,215

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Solution

The third proportional to 27,834 and 46,215 is: 76,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,834 : 46,215 = 46,215 : x
  2. Step 2: Convert to fraction form
    27,834/46,215 = 46,215/x
  3. Step 3: Cross multiply
    27,834x = 46,215 × 46,215
  4. Step 4: Simplify right side
    27,834x = 2,135,826,225
  5. Step 5: Solve for x
    x = 2,135,826,225/27,834
  6. Step 6: Final answer
    x = 76,734.43

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.