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Finding the Third Proportional to 16,823 and 24,747

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Solution

The third proportional to 16,823 and 24,747 is: 36,403.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823 : 24,747 = 24,747 : x
  2. Step 2: Convert to fraction form
    16,823/24,747 = 24,747/x
  3. Step 3: Cross multiply
    16,823x = 24,747 × 24,747
  4. Step 4: Simplify right side
    16,823x = 612,414,009
  5. Step 5: Solve for x
    x = 612,414,009/16,823
  6. Step 6: Final answer
    x = 36,403.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.