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Finding the Third Proportional to 27,914 and 58,706

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Solution

The third proportional to 27,914 and 58,706 is: 123,464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,914 : 58,706 = 58,706 : x
  2. Step 2: Convert to fraction form
    27,914/58,706 = 58,706/x
  3. Step 3: Cross multiply
    27,914x = 58,706 × 58,706
  4. Step 4: Simplify right side
    27,914x = 3,446,394,436
  5. Step 5: Solve for x
    x = 3,446,394,436/27,914
  6. Step 6: Final answer
    x = 123,464.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.