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Finding the Third Proportional to 23,682 and 36,443

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Solution

The third proportional to 23,682 and 36,443 is: 56,080.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682 : 36,443 = 36,443 : x
  2. Step 2: Convert to fraction form
    23,682/36,443 = 36,443/x
  3. Step 3: Cross multiply
    23,682x = 36,443 × 36,443
  4. Step 4: Simplify right side
    23,682x = 1,328,092,249
  5. Step 5: Solve for x
    x = 1,328,092,249/23,682
  6. Step 6: Final answer
    x = 56,080.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.