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Finding the Third Proportional to 32,009 and 47,192

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Solution

The third proportional to 32,009 and 47,192 is: 69,576.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,009 : 47,192 = 47,192 : x
  2. Step 2: Convert to fraction form
    32,009/47,192 = 47,192/x
  3. Step 3: Cross multiply
    32,009x = 47,192 × 47,192
  4. Step 4: Simplify right side
    32,009x = 2,227,084,864
  5. Step 5: Solve for x
    x = 2,227,084,864/32,009
  6. Step 6: Final answer
    x = 69,576.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.