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Finding the Third Proportional to 27,746 and 57,757

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Solution

The third proportional to 27,746 and 57,757 is: 120,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,746 : 57,757 = 57,757 : x
  2. Step 2: Convert to fraction form
    27,746/57,757 = 57,757/x
  3. Step 3: Cross multiply
    27,746x = 57,757 × 57,757
  4. Step 4: Simplify right side
    27,746x = 3,335,871,049
  5. Step 5: Solve for x
    x = 3,335,871,049/27,746
  6. Step 6: Final answer
    x = 120,228.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.