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Finding the Third Proportional to 36,484 and 79,824

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Solution

The third proportional to 36,484 and 79,824 is: 174,648.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,484 : 79,824 = 79,824 : x
  2. Step 2: Convert to fraction form
    36,484/79,824 = 79,824/x
  3. Step 3: Cross multiply
    36,484x = 79,824 × 79,824
  4. Step 4: Simplify right side
    36,484x = 6,371,870,976
  5. Step 5: Solve for x
    x = 6,371,870,976/36,484
  6. Step 6: Final answer
    x = 174,648.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.