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Finding the Third Proportional to 23,829 and 50,929

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Solution

The third proportional to 23,829 and 50,929 is: 108,849.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,829 : 50,929 = 50,929 : x
  2. Step 2: Convert to fraction form
    23,829/50,929 = 50,929/x
  3. Step 3: Cross multiply
    23,829x = 50,929 × 50,929
  4. Step 4: Simplify right side
    23,829x = 2,593,763,041
  5. Step 5: Solve for x
    x = 2,593,763,041/23,829
  6. Step 6: Final answer
    x = 108,849.01

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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.