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Finding the Third Proportional to 32,738 and 71,668

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Solution

The third proportional to 32,738 and 71,668 is: 156,891.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,738 : 71,668 = 71,668 : x
  2. Step 2: Convert to fraction form
    32,738/71,668 = 71,668/x
  3. Step 3: Cross multiply
    32,738x = 71,668 × 71,668
  4. Step 4: Simplify right side
    32,738x = 5,136,302,224
  5. Step 5: Solve for x
    x = 5,136,302,224/32,738
  6. Step 6: Final answer
    x = 156,891.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.