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Finding the Third Proportional to 24,418.50 and 50,133

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Solution

The third proportional to 24,418.50 and 50,133 is: 102,926.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,418.50 : 50,133 = 50,133 : x
  2. Step 2: Convert to fraction form
    24,418.50/50,133 = 50,133/x
  3. Step 3: Cross multiply
    24,418.50x = 50,133 × 50,133
  4. Step 4: Simplify right side
    24,418.50x = 2,513,317,689
  5. Step 5: Solve for x
    x = 2,513,317,689/24,418.50
  6. Step 6: Final answer
    x = 102,926.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.