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Finding the Third Proportional to 23,524 and 50,329

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Solution

The third proportional to 23,524 and 50,329 is: 107,677.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,524 : 50,329 = 50,329 : x
  2. Step 2: Convert to fraction form
    23,524/50,329 = 50,329/x
  3. Step 3: Cross multiply
    23,524x = 50,329 × 50,329
  4. Step 4: Simplify right side
    23,524x = 2,533,008,241
  5. Step 5: Solve for x
    x = 2,533,008,241/23,524
  6. Step 6: Final answer
    x = 107,677.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.