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Finding the Third Proportional to 17,872 and 26,293

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Solution

The third proportional to 17,872 and 26,293 is: 38,681.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,872 : 26,293 = 26,293 : x
  2. Step 2: Convert to fraction form
    17,872/26,293 = 26,293/x
  3. Step 3: Cross multiply
    17,872x = 26,293 × 26,293
  4. Step 4: Simplify right side
    17,872x = 691,321,849
  5. Step 5: Solve for x
    x = 691,321,849/17,872
  6. Step 6: Final answer
    x = 38,681.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.