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Finding the Third Proportional to 27,340 and 40,834

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Solution

The third proportional to 27,340 and 40,834 is: 60,988.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,340 : 40,834 = 40,834 : x
  2. Step 2: Convert to fraction form
    27,340/40,834 = 40,834/x
  3. Step 3: Cross multiply
    27,340x = 40,834 × 40,834
  4. Step 4: Simplify right side
    27,340x = 1,667,415,556
  5. Step 5: Solve for x
    x = 1,667,415,556/27,340
  6. Step 6: Final answer
    x = 60,988.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.