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Finding the Third Proportional to 27,857.25 and 60,795

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Solution

The third proportional to 27,857.25 and 60,795 is: 132,677.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.25 : 60,795 = 60,795 : x
  2. Step 2: Convert to fraction form
    27,857.25/60,795 = 60,795/x
  3. Step 3: Cross multiply
    27,857.25x = 60,795 × 60,795
  4. Step 4: Simplify right side
    27,857.25x = 3,696,032,025
  5. Step 5: Solve for x
    x = 3,696,032,025/27,857.25
  6. Step 6: Final answer
    x = 132,677.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.