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Finding the Third Proportional to 32,272 and 70,016

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Solution

The third proportional to 32,272 and 70,016 is: 151,903.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,272 : 70,016 = 70,016 : x
  2. Step 2: Convert to fraction form
    32,272/70,016 = 70,016/x
  3. Step 3: Cross multiply
    32,272x = 70,016 × 70,016
  4. Step 4: Simplify right side
    32,272x = 4,902,240,256
  5. Step 5: Solve for x
    x = 4,902,240,256/32,272
  6. Step 6: Final answer
    x = 151,903.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.