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Finding the Third Proportional to 27,886 and 57,130

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Solution

The third proportional to 27,886 and 57,130 is: 117,042.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,886 : 57,130 = 57,130 : x
  2. Step 2: Convert to fraction form
    27,886/57,130 = 57,130/x
  3. Step 3: Cross multiply
    27,886x = 57,130 × 57,130
  4. Step 4: Simplify right side
    27,886x = 3,263,836,900
  5. Step 5: Solve for x
    x = 3,263,836,900/27,886
  6. Step 6: Final answer
    x = 117,042.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.