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Finding the Third Proportional to 27,634 and 58,551

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Solution

The third proportional to 27,634 and 58,551 is: 124,058.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,634 : 58,551 = 58,551 : x
  2. Step 2: Convert to fraction form
    27,634/58,551 = 58,551/x
  3. Step 3: Cross multiply
    27,634x = 58,551 × 58,551
  4. Step 4: Simplify right side
    27,634x = 3,428,219,601
  5. Step 5: Solve for x
    x = 3,428,219,601/27,634
  6. Step 6: Final answer
    x = 124,058.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.