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Finding the Third Proportional to 27,983 and 57,856

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Solution

The third proportional to 27,983 and 57,856 is: 119,619.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,983 : 57,856 = 57,856 : x
  2. Step 2: Convert to fraction form
    27,983/57,856 = 57,856/x
  3. Step 3: Cross multiply
    27,983x = 57,856 × 57,856
  4. Step 4: Simplify right side
    27,983x = 3,347,316,736
  5. Step 5: Solve for x
    x = 3,347,316,736/27,983
  6. Step 6: Final answer
    x = 119,619.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.