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Finding the Third Proportional to 27,027 and 57,798

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Solution

The third proportional to 27,027 and 57,798 is: 123,602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,027 : 57,798 = 57,798 : x
  2. Step 2: Convert to fraction form
    27,027/57,798 = 57,798/x
  3. Step 3: Cross multiply
    27,027x = 57,798 × 57,798
  4. Step 4: Simplify right side
    27,027x = 3,340,608,804
  5. Step 5: Solve for x
    x = 3,340,608,804/27,027
  6. Step 6: Final answer
    x = 123,602.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.