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Finding the Third Proportional to 36,838 and 79,916

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Solution

The third proportional to 36,838 and 79,916 is: 173,369.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,838 : 79,916 = 79,916 : x
  2. Step 2: Convert to fraction form
    36,838/79,916 = 79,916/x
  3. Step 3: Cross multiply
    36,838x = 79,916 × 79,916
  4. Step 4: Simplify right side
    36,838x = 6,386,567,056
  5. Step 5: Solve for x
    x = 6,386,567,056/36,838
  6. Step 6: Final answer
    x = 173,369.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.