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Finding the Third Proportional to 38,034 and 83,844

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Solution

The third proportional to 38,034 and 83,844 is: 184,829.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,034 : 83,844 = 83,844 : x
  2. Step 2: Convert to fraction form
    38,034/83,844 = 83,844/x
  3. Step 3: Cross multiply
    38,034x = 83,844 × 83,844
  4. Step 4: Simplify right side
    38,034x = 7,029,816,336
  5. Step 5: Solve for x
    x = 7,029,816,336/38,034
  6. Step 6: Final answer
    x = 184,829.79

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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.