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Finding the Third Proportional to 27,765 and 59,965

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Solution

The third proportional to 27,765 and 59,965 is: 129,508.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,765 : 59,965 = 59,965 : x
  2. Step 2: Convert to fraction form
    27,765/59,965 = 59,965/x
  3. Step 3: Cross multiply
    27,765x = 59,965 × 59,965
  4. Step 4: Simplify right side
    27,765x = 3,595,801,225
  5. Step 5: Solve for x
    x = 3,595,801,225/27,765
  6. Step 6: Final answer
    x = 129,508.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.