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Finding the Third Proportional to 27,747 and 60,563.25

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Solution

The third proportional to 27,747 and 60,563.25 is: 132,191.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,747 : 60,563.25 = 60,563.25 : x
  2. Step 2: Convert to fraction form
    27,747/60,563.25 = 60,563.25/x
  3. Step 3: Cross multiply
    27,747x = 60,563.25 × 60,563.25
  4. Step 4: Simplify right side
    27,747x = 3,667,907,250.56
  5. Step 5: Solve for x
    x = 3,667,907,250.56/27,747
  6. Step 6: Final answer
    x = 132,191.13

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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.