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Finding the Third Proportional to 27,299.25 and 56,934

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Solution

The third proportional to 27,299.25 and 56,934 is: 118,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,299.25 : 56,934 = 56,934 : x
  2. Step 2: Convert to fraction form
    27,299.25/56,934 = 56,934/x
  3. Step 3: Cross multiply
    27,299.25x = 56,934 × 56,934
  4. Step 4: Simplify right side
    27,299.25x = 3,241,480,356
  5. Step 5: Solve for x
    x = 3,241,480,356/27,299.25
  6. Step 6: Final answer
    x = 118,738.81

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.