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Finding the Third Proportional to 16,824 and 25,236

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Solution

The third proportional to 16,824 and 25,236 is: 37,854

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824 : 25,236 = 25,236 : x
  2. Step 2: Convert to fraction form
    16,824/25,236 = 25,236/x
  3. Step 3: Cross multiply
    16,824x = 25,236 × 25,236
  4. Step 4: Simplify right side
    16,824x = 636,855,696
  5. Step 5: Solve for x
    x = 636,855,696/16,824
  6. Step 6: Final answer
    x = 37,854

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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.