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Finding the Third Proportional to 21,472 and 32,847

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Solution

The third proportional to 21,472 and 32,847 is: 50,248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,472 : 32,847 = 32,847 : x
  2. Step 2: Convert to fraction form
    21,472/32,847 = 32,847/x
  3. Step 3: Cross multiply
    21,472x = 32,847 × 32,847
  4. Step 4: Simplify right side
    21,472x = 1,078,925,409
  5. Step 5: Solve for x
    x = 1,078,925,409/21,472
  6. Step 6: Final answer
    x = 50,248.02

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.