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Finding the Third Proportional to 11,380 and 24,057

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Solution

The third proportional to 11,380 and 24,057 is: 50,855.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380 : 24,057 = 24,057 : x
  2. Step 2: Convert to fraction form
    11,380/24,057 = 24,057/x
  3. Step 3: Cross multiply
    11,380x = 24,057 × 24,057
  4. Step 4: Simplify right side
    11,380x = 578,739,249
  5. Step 5: Solve for x
    x = 578,739,249/11,380
  6. Step 6: Final answer
    x = 50,855.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.