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Finding the Third Proportional to 27,009 and 56,169

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Solution

The third proportional to 27,009 and 56,169 is: 116,811.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,009 : 56,169 = 56,169 : x
  2. Step 2: Convert to fraction form
    27,009/56,169 = 56,169/x
  3. Step 3: Cross multiply
    27,009x = 56,169 × 56,169
  4. Step 4: Simplify right side
    27,009x = 3,154,956,561
  5. Step 5: Solve for x
    x = 3,154,956,561/27,009
  6. Step 6: Final answer
    x = 116,811.31

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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.