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Finding the Third Proportional to 27,101 and 55,930

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Solution

The third proportional to 27,101 and 55,930 is: 115,426.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,101 : 55,930 = 55,930 : x
  2. Step 2: Convert to fraction form
    27,101/55,930 = 55,930/x
  3. Step 3: Cross multiply
    27,101x = 55,930 × 55,930
  4. Step 4: Simplify right side
    27,101x = 3,128,164,900
  5. Step 5: Solve for x
    x = 3,128,164,900/27,101
  6. Step 6: Final answer
    x = 115,426.18

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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.