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Finding the Third Proportional to 27,994 and 61,450

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Solution

The third proportional to 27,994 and 61,450 is: 134,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,994 : 61,450 = 61,450 : x
  2. Step 2: Convert to fraction form
    27,994/61,450 = 61,450/x
  3. Step 3: Cross multiply
    27,994x = 61,450 × 61,450
  4. Step 4: Simplify right side
    27,994x = 3,776,102,500
  5. Step 5: Solve for x
    x = 3,776,102,500/27,994
  6. Step 6: Final answer
    x = 134,889.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.