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Finding the Third Proportional to 17,322 and 23,203

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Solution

The third proportional to 17,322 and 23,203 is: 31,080.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,322 : 23,203 = 23,203 : x
  2. Step 2: Convert to fraction form
    17,322/23,203 = 23,203/x
  3. Step 3: Cross multiply
    17,322x = 23,203 × 23,203
  4. Step 4: Simplify right side
    17,322x = 538,379,209
  5. Step 5: Solve for x
    x = 538,379,209/17,322
  6. Step 6: Final answer
    x = 31,080.66

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.