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Finding the Third Proportional to 16,322 and 33,610

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Solution

The third proportional to 16,322 and 33,610 is: 69,209.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,322 : 33,610 = 33,610 : x
  2. Step 2: Convert to fraction form
    16,322/33,610 = 33,610/x
  3. Step 3: Cross multiply
    16,322x = 33,610 × 33,610
  4. Step 4: Simplify right side
    16,322x = 1,129,632,100
  5. Step 5: Solve for x
    x = 1,129,632,100/16,322
  6. Step 6: Final answer
    x = 69,209.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.