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Finding the Third Proportional to 38,896.45 and 79,219.69

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Solution

The third proportional to 38,896.45 and 79,219.69 is: 161,345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,896.45 : 79,219.69 = 79,219.69 : x
  2. Step 2: Convert to fraction form
    38,896.45/79,219.69 = 79,219.69/x
  3. Step 3: Cross multiply
    38,896.45x = 79,219.69 × 79,219.69
  4. Step 4: Simplify right side
    38,896.45x = 6,275,758,887.60
  5. Step 5: Solve for x
    x = 6,275,758,887.60/38,896.45
  6. Step 6: Final answer
    x = 161,345.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.