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Finding the Third Proportional to 17,438 and 26,194

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Solution

The third proportional to 17,438 and 26,194 is: 39,346.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,438 : 26,194 = 26,194 : x
  2. Step 2: Convert to fraction form
    17,438/26,194 = 26,194/x
  3. Step 3: Cross multiply
    17,438x = 26,194 × 26,194
  4. Step 4: Simplify right side
    17,438x = 686,125,636
  5. Step 5: Solve for x
    x = 686,125,636/17,438
  6. Step 6: Final answer
    x = 39,346.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.