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Finding the Third Proportional to 32,344 and 71,504

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Solution

The third proportional to 32,344 and 71,504 is: 158,076.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,344 : 71,504 = 71,504 : x
  2. Step 2: Convert to fraction form
    32,344/71,504 = 71,504/x
  3. Step 3: Cross multiply
    32,344x = 71,504 × 71,504
  4. Step 4: Simplify right side
    32,344x = 5,112,822,016
  5. Step 5: Solve for x
    x = 5,112,822,016/32,344
  6. Step 6: Final answer
    x = 158,076.37

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.