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Finding the Third Proportional to 27,877 and 57,129

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Solution

The third proportional to 27,877 and 57,129 is: 117,075.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,877 : 57,129 = 57,129 : x
  2. Step 2: Convert to fraction form
    27,877/57,129 = 57,129/x
  3. Step 3: Cross multiply
    27,877x = 57,129 × 57,129
  4. Step 4: Simplify right side
    27,877x = 3,263,722,641
  5. Step 5: Solve for x
    x = 3,263,722,641/27,877
  6. Step 6: Final answer
    x = 117,075.82

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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.