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Finding the Third Proportional to 24,193 and 36,655

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Solution

The third proportional to 24,193 and 36,655 is: 55,536.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,193 : 36,655 = 36,655 : x
  2. Step 2: Convert to fraction form
    24,193/36,655 = 36,655/x
  3. Step 3: Cross multiply
    24,193x = 36,655 × 36,655
  4. Step 4: Simplify right side
    24,193x = 1,343,589,025
  5. Step 5: Solve for x
    x = 1,343,589,025/24,193
  6. Step 6: Final answer
    x = 55,536.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.