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Finding the Third Proportional to 24,421 and 50,136

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Solution

The third proportional to 24,421 and 50,136 is: 102,928.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,421 : 50,136 = 50,136 : x
  2. Step 2: Convert to fraction form
    24,421/50,136 = 50,136/x
  3. Step 3: Cross multiply
    24,421x = 50,136 × 50,136
  4. Step 4: Simplify right side
    24,421x = 2,513,618,496
  5. Step 5: Solve for x
    x = 2,513,618,496/24,421
  6. Step 6: Final answer
    x = 102,928.57

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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.