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Finding the Third Proportional to 21,462.75 and 32,832

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Solution

The third proportional to 21,462.75 and 32,832 is: 50,223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,462.75 : 32,832 = 32,832 : x
  2. Step 2: Convert to fraction form
    21,462.75/32,832 = 32,832/x
  3. Step 3: Cross multiply
    21,462.75x = 32,832 × 32,832
  4. Step 4: Simplify right side
    21,462.75x = 1,077,940,224
  5. Step 5: Solve for x
    x = 1,077,940,224/21,462.75
  6. Step 6: Final answer
    x = 50,223.77

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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.