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Finding the Third Proportional to 17,856 and 27,250

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Solution

The third proportional to 17,856 and 27,250 is: 41,586.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856 : 27,250 = 27,250 : x
  2. Step 2: Convert to fraction form
    17,856/27,250 = 27,250/x
  3. Step 3: Cross multiply
    17,856x = 27,250 × 27,250
  4. Step 4: Simplify right side
    17,856x = 742,562,500
  5. Step 5: Solve for x
    x = 742,562,500/17,856
  6. Step 6: Final answer
    x = 41,586.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.