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Finding the Third Proportional to 23,784 and 50,941

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Solution

The third proportional to 23,784 and 50,941 is: 109,106.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,784 : 50,941 = 50,941 : x
  2. Step 2: Convert to fraction form
    23,784/50,941 = 50,941/x
  3. Step 3: Cross multiply
    23,784x = 50,941 × 50,941
  4. Step 4: Simplify right side
    23,784x = 2,594,985,481
  5. Step 5: Solve for x
    x = 2,594,985,481/23,784
  6. Step 6: Final answer
    x = 109,106.35

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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.