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Finding the Third Proportional to 21,744 and 32,664

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Solution

The third proportional to 21,744 and 32,664 is: 49,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,744 : 32,664 = 32,664 : x
  2. Step 2: Convert to fraction form
    21,744/32,664 = 32,664/x
  3. Step 3: Cross multiply
    21,744x = 32,664 × 32,664
  4. Step 4: Simplify right side
    21,744x = 1,066,936,896
  5. Step 5: Solve for x
    x = 1,066,936,896/21,744
  6. Step 6: Final answer
    x = 49,068.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.