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Finding the Third Proportional to 27,018 and 56,979

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Solution

The third proportional to 27,018 and 56,979 is: 120,164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,018 : 56,979 = 56,979 : x
  2. Step 2: Convert to fraction form
    27,018/56,979 = 56,979/x
  3. Step 3: Cross multiply
    27,018x = 56,979 × 56,979
  4. Step 4: Simplify right side
    27,018x = 3,246,606,441
  5. Step 5: Solve for x
    x = 3,246,606,441/27,018
  6. Step 6: Final answer
    x = 120,164.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.