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Finding the Third Proportional to 24,322 and 50,494

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Solution

The third proportional to 24,322 and 50,494 is: 104,828.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,322 : 50,494 = 50,494 : x
  2. Step 2: Convert to fraction form
    24,322/50,494 = 50,494/x
  3. Step 3: Cross multiply
    24,322x = 50,494 × 50,494
  4. Step 4: Simplify right side
    24,322x = 2,549,644,036
  5. Step 5: Solve for x
    x = 2,549,644,036/24,322
  6. Step 6: Final answer
    x = 104,828.72

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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.