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Finding the Third Proportional to 16,780 and 24,682

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Solution

The third proportional to 16,780 and 24,682 is: 36,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,780 : 24,682 = 24,682 : x
  2. Step 2: Convert to fraction form
    16,780/24,682 = 24,682/x
  3. Step 3: Cross multiply
    16,780x = 24,682 × 24,682
  4. Step 4: Simplify right side
    16,780x = 609,201,124
  5. Step 5: Solve for x
    x = 609,201,124/16,780
  6. Step 6: Final answer
    x = 36,305.19

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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.