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Finding the Third Proportional to 24,800 and 51,604

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Solution

The third proportional to 24,800 and 51,604 is: 107,377.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,800 : 51,604 = 51,604 : x
  2. Step 2: Convert to fraction form
    24,800/51,604 = 51,604/x
  3. Step 3: Cross multiply
    24,800x = 51,604 × 51,604
  4. Step 4: Simplify right side
    24,800x = 2,662,972,816
  5. Step 5: Solve for x
    x = 2,662,972,816/24,800
  6. Step 6: Final answer
    x = 107,377.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.