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Finding the Third Proportional to 5,550 and 12,832

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Solution

The third proportional to 5,550 and 12,832 is: 29,668.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,550 : 12,832 = 12,832 : x
  2. Step 2: Convert to fraction form
    5,550/12,832 = 12,832/x
  3. Step 3: Cross multiply
    5,550x = 12,832 × 12,832
  4. Step 4: Simplify right side
    5,550x = 164,660,224
  5. Step 5: Solve for x
    x = 164,660,224/5,550
  6. Step 6: Final answer
    x = 29,668.51

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.