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Finding the Third Proportional to 16,339 and 24,443

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Solution

The third proportional to 16,339 and 24,443 is: 36,566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339 : 24,443 = 24,443 : x
  2. Step 2: Convert to fraction form
    16,339/24,443 = 24,443/x
  3. Step 3: Cross multiply
    16,339x = 24,443 × 24,443
  4. Step 4: Simplify right side
    16,339x = 597,460,249
  5. Step 5: Solve for x
    x = 597,460,249/16,339
  6. Step 6: Final answer
    x = 36,566.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.