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Finding the Third Proportional to 24,392 and 50,698

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Solution

The third proportional to 24,392 and 50,698 is: 105,374.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,392 : 50,698 = 50,698 : x
  2. Step 2: Convert to fraction form
    24,392/50,698 = 50,698/x
  3. Step 3: Cross multiply
    24,392x = 50,698 × 50,698
  4. Step 4: Simplify right side
    24,392x = 2,570,287,204
  5. Step 5: Solve for x
    x = 2,570,287,204/24,392
  6. Step 6: Final answer
    x = 105,374.19

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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.