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Finding the Third Proportional to 39,038 and 80,844

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Solution

The third proportional to 39,038 and 80,844 is: 167,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,038 : 80,844 = 80,844 : x
  2. Step 2: Convert to fraction form
    39,038/80,844 = 80,844/x
  3. Step 3: Cross multiply
    39,038x = 80,844 × 80,844
  4. Step 4: Simplify right side
    39,038x = 6,535,752,336
  5. Step 5: Solve for x
    x = 6,535,752,336/39,038
  6. Step 6: Final answer
    x = 167,420.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.