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Finding the Third Proportional to 24,006 and 36,741

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Solution

The third proportional to 24,006 and 36,741 is: 56,231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,006 : 36,741 = 36,741 : x
  2. Step 2: Convert to fraction form
    24,006/36,741 = 36,741/x
  3. Step 3: Cross multiply
    24,006x = 36,741 × 36,741
  4. Step 4: Simplify right side
    24,006x = 1,349,901,081
  5. Step 5: Solve for x
    x = 1,349,901,081/24,006
  6. Step 6: Final answer
    x = 56,231.82

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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.