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Finding the Third Proportional to 24,208 and 51,324

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Solution

The third proportional to 24,208 and 51,324 is: 108,813.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,208 : 51,324 = 51,324 : x
  2. Step 2: Convert to fraction form
    24,208/51,324 = 51,324/x
  3. Step 3: Cross multiply
    24,208x = 51,324 × 51,324
  4. Step 4: Simplify right side
    24,208x = 2,634,152,976
  5. Step 5: Solve for x
    x = 2,634,152,976/24,208
  6. Step 6: Final answer
    x = 108,813.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.