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Finding the Third Proportional to 32,631 and 71,255

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Solution

The third proportional to 32,631 and 71,255 is: 155,596.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,631 : 71,255 = 71,255 : x
  2. Step 2: Convert to fraction form
    32,631/71,255 = 71,255/x
  3. Step 3: Cross multiply
    32,631x = 71,255 × 71,255
  4. Step 4: Simplify right side
    32,631x = 5,077,275,025
  5. Step 5: Solve for x
    x = 5,077,275,025/32,631
  6. Step 6: Final answer
    x = 155,596.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.