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Finding the Third Proportional to 36,844 and 56,324

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Solution

The third proportional to 36,844 and 56,324 is: 86,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,844 : 56,324 = 56,324 : x
  2. Step 2: Convert to fraction form
    36,844/56,324 = 56,324/x
  3. Step 3: Cross multiply
    36,844x = 56,324 × 56,324
  4. Step 4: Simplify right side
    36,844x = 3,172,392,976
  5. Step 5: Solve for x
    x = 3,172,392,976/36,844
  6. Step 6: Final answer
    x = 86,103.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.