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Finding the Third Proportional to 27,011 and 56,173

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Solution

The third proportional to 27,011 and 56,173 is: 116,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,011 : 56,173 = 56,173 : x
  2. Step 2: Convert to fraction form
    27,011/56,173 = 56,173/x
  3. Step 3: Cross multiply
    27,011x = 56,173 × 56,173
  4. Step 4: Simplify right side
    27,011x = 3,155,405,929
  5. Step 5: Solve for x
    x = 3,155,405,929/27,011
  6. Step 6: Final answer
    x = 116,819.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.