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Finding the Third Proportional to 17,206 and 23,214

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Solution

The third proportional to 17,206 and 23,214 is: 31,319.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206 : 23,214 = 23,214 : x
  2. Step 2: Convert to fraction form
    17,206/23,214 = 23,214/x
  3. Step 3: Cross multiply
    17,206x = 23,214 × 23,214
  4. Step 4: Simplify right side
    17,206x = 538,889,796
  5. Step 5: Solve for x
    x = 538,889,796/17,206
  6. Step 6: Final answer
    x = 31,319.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.