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Finding the Third Proportional to 27,715 and 57,401

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Solution

The third proportional to 27,715 and 57,401 is: 118,884.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,715 : 57,401 = 57,401 : x
  2. Step 2: Convert to fraction form
    27,715/57,401 = 57,401/x
  3. Step 3: Cross multiply
    27,715x = 57,401 × 57,401
  4. Step 4: Simplify right side
    27,715x = 3,294,874,801
  5. Step 5: Solve for x
    x = 3,294,874,801/27,715
  6. Step 6: Final answer
    x = 118,884.17

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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.