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Finding the Third Proportional to 32,731 and 50,383

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Solution

The third proportional to 32,731 and 50,383 is: 77,554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,731 : 50,383 = 50,383 : x
  2. Step 2: Convert to fraction form
    32,731/50,383 = 50,383/x
  3. Step 3: Cross multiply
    32,731x = 50,383 × 50,383
  4. Step 4: Simplify right side
    32,731x = 2,538,446,689
  5. Step 5: Solve for x
    x = 2,538,446,689/32,731
  6. Step 6: Final answer
    x = 77,554.82

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.