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Finding the Third Proportional to 16,294 and 24,383

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Solution

The third proportional to 16,294 and 24,383 is: 36,487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294 : 24,383 = 24,383 : x
  2. Step 2: Convert to fraction form
    16,294/24,383 = 24,383/x
  3. Step 3: Cross multiply
    16,294x = 24,383 × 24,383
  4. Step 4: Simplify right side
    16,294x = 594,530,689
  5. Step 5: Solve for x
    x = 594,530,689/16,294
  6. Step 6: Final answer
    x = 36,487.71

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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.