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Finding the Third Proportional to 27,018 and 58,356

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Solution

The third proportional to 27,018 and 58,356 is: 126,042.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,018 : 58,356 = 58,356 : x
  2. Step 2: Convert to fraction form
    27,018/58,356 = 58,356/x
  3. Step 3: Cross multiply
    27,018x = 58,356 × 58,356
  4. Step 4: Simplify right side
    27,018x = 3,405,422,736
  5. Step 5: Solve for x
    x = 3,405,422,736/27,018
  6. Step 6: Final answer
    x = 126,042.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.