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Finding the Third Proportional to 16,584 and 24,956

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Solution

The third proportional to 16,584 and 24,956 is: 37,554.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584 : 24,956 = 24,956 : x
  2. Step 2: Convert to fraction form
    16,584/24,956 = 24,956/x
  3. Step 3: Cross multiply
    16,584x = 24,956 × 24,956
  4. Step 4: Simplify right side
    16,584x = 622,801,936
  5. Step 5: Solve for x
    x = 622,801,936/16,584
  6. Step 6: Final answer
    x = 37,554.39

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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.