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Finding the Third Proportional to 13,698 and 32,325

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Solution

The third proportional to 13,698 and 32,325 is: 76,281.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698 : 32,325 = 32,325 : x
  2. Step 2: Convert to fraction form
    13,698/32,325 = 32,325/x
  3. Step 3: Cross multiply
    13,698x = 32,325 × 32,325
  4. Step 4: Simplify right side
    13,698x = 1,044,905,625
  5. Step 5: Solve for x
    x = 1,044,905,625/13,698
  6. Step 6: Final answer
    x = 76,281.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.