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Finding the Third Proportional to 27,102 and 55,932

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Solution

The third proportional to 27,102 and 55,932 is: 115,430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,102 : 55,932 = 55,932 : x
  2. Step 2: Convert to fraction form
    27,102/55,932 = 55,932/x
  3. Step 3: Cross multiply
    27,102x = 55,932 × 55,932
  4. Step 4: Simplify right side
    27,102x = 3,128,388,624
  5. Step 5: Solve for x
    x = 3,128,388,624/27,102
  6. Step 6: Final answer
    x = 115,430.18

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.