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Finding the Third Proportional to 24,206 and 50,628

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Solution

The third proportional to 24,206 and 50,628 is: 105,890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,206 : 50,628 = 50,628 : x
  2. Step 2: Convert to fraction form
    24,206/50,628 = 50,628/x
  3. Step 3: Cross multiply
    24,206x = 50,628 × 50,628
  4. Step 4: Simplify right side
    24,206x = 2,563,194,384
  5. Step 5: Solve for x
    x = 2,563,194,384/24,206
  6. Step 6: Final answer
    x = 105,890.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.