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Finding the Third Proportional to 24,198 and 37,011

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Solution

The third proportional to 24,198 and 37,011 is: 56,608.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198 : 37,011 = 37,011 : x
  2. Step 2: Convert to fraction form
    24,198/37,011 = 37,011/x
  3. Step 3: Cross multiply
    24,198x = 37,011 × 37,011
  4. Step 4: Simplify right side
    24,198x = 1,369,814,121
  5. Step 5: Solve for x
    x = 1,369,814,121/24,198
  6. Step 6: Final answer
    x = 56,608.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.