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Finding the Third Proportional to 27,373 and 58,634

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Solution

The third proportional to 27,373 and 58,634 is: 125,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,373 : 58,634 = 58,634 : x
  2. Step 2: Convert to fraction form
    27,373/58,634 = 58,634/x
  3. Step 3: Cross multiply
    27,373x = 58,634 × 58,634
  4. Step 4: Simplify right side
    27,373x = 3,437,945,956
  5. Step 5: Solve for x
    x = 3,437,945,956/27,373
  6. Step 6: Final answer
    x = 125,596.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.