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Finding the Third Proportional to 13,494 and 32,631

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Solution

The third proportional to 13,494 and 32,631 is: 78,907.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494 : 32,631 = 32,631 : x
  2. Step 2: Convert to fraction form
    13,494/32,631 = 32,631/x
  3. Step 3: Cross multiply
    13,494x = 32,631 × 32,631
  4. Step 4: Simplify right side
    13,494x = 1,064,782,161
  5. Step 5: Solve for x
    x = 1,064,782,161/13,494
  6. Step 6: Final answer
    x = 78,907.82

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.