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Finding the Third Proportional to 27,734 and 49,312

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Solution

The third proportional to 27,734 and 49,312 is: 87,678.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,734 : 49,312 = 49,312 : x
  2. Step 2: Convert to fraction form
    27,734/49,312 = 49,312/x
  3. Step 3: Cross multiply
    27,734x = 49,312 × 49,312
  4. Step 4: Simplify right side
    27,734x = 2,431,673,344
  5. Step 5: Solve for x
    x = 2,431,673,344/27,734
  6. Step 6: Final answer
    x = 87,678.42

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.