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Finding the Third Proportional to 22,608 and 32,832

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Solution

The third proportional to 22,608 and 32,832 is: 47,679.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,608 : 32,832 = 32,832 : x
  2. Step 2: Convert to fraction form
    22,608/32,832 = 32,832/x
  3. Step 3: Cross multiply
    22,608x = 32,832 × 32,832
  4. Step 4: Simplify right side
    22,608x = 1,077,940,224
  5. Step 5: Solve for x
    x = 1,077,940,224/22,608
  6. Step 6: Final answer
    x = 47,679.59

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.