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Finding the Third Proportional to 24,000 and 50,436

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Solution

The third proportional to 24,000 and 50,436 is: 105,991.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,000 : 50,436 = 50,436 : x
  2. Step 2: Convert to fraction form
    24,000/50,436 = 50,436/x
  3. Step 3: Cross multiply
    24,000x = 50,436 × 50,436
  4. Step 4: Simplify right side
    24,000x = 2,543,790,096
  5. Step 5: Solve for x
    x = 2,543,790,096/24,000
  6. Step 6: Final answer
    x = 105,991.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.