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Finding the Third Proportional to 32,296 and 47,383

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Solution

The third proportional to 32,296 and 47,383 is: 69,517.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,296 : 47,383 = 47,383 : x
  2. Step 2: Convert to fraction form
    32,296/47,383 = 47,383/x
  3. Step 3: Cross multiply
    32,296x = 47,383 × 47,383
  4. Step 4: Simplify right side
    32,296x = 2,245,148,689
  5. Step 5: Solve for x
    x = 2,245,148,689/32,296
  6. Step 6: Final answer
    x = 69,517.86

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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.