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Finding the Third Proportional to 16,638 and 24,896

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Solution

The third proportional to 16,638 and 24,896 is: 37,252.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,638 : 24,896 = 24,896 : x
  2. Step 2: Convert to fraction form
    16,638/24,896 = 24,896/x
  3. Step 3: Cross multiply
    16,638x = 24,896 × 24,896
  4. Step 4: Simplify right side
    16,638x = 619,810,816
  5. Step 5: Solve for x
    x = 619,810,816/16,638
  6. Step 6: Final answer
    x = 37,252.72

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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.