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Finding the Third Proportional to 32,007 and 47,189

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Solution

The third proportional to 32,007 and 47,189 is: 69,572.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,007 : 47,189 = 47,189 : x
  2. Step 2: Convert to fraction form
    32,007/47,189 = 47,189/x
  3. Step 3: Cross multiply
    32,007x = 47,189 × 47,189
  4. Step 4: Simplify right side
    32,007x = 2,226,801,721
  5. Step 5: Solve for x
    x = 2,226,801,721/32,007
  6. Step 6: Final answer
    x = 69,572.33

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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.