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Finding the Third Proportional to 32,668.50 and 71,256

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Solution

The third proportional to 32,668.50 and 71,256 is: 155,422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,668.50 : 71,256 = 71,256 : x
  2. Step 2: Convert to fraction form
    32,668.50/71,256 = 71,256/x
  3. Step 3: Cross multiply
    32,668.50x = 71,256 × 71,256
  4. Step 4: Simplify right side
    32,668.50x = 5,077,417,536
  5. Step 5: Solve for x
    x = 5,077,417,536/32,668.50
  6. Step 6: Final answer
    x = 155,422.43

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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.