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Finding the Third Proportional to 27,768 and 58,635

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Solution

The third proportional to 27,768 and 58,635 is: 123,813.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,768 : 58,635 = 58,635 : x
  2. Step 2: Convert to fraction form
    27,768/58,635 = 58,635/x
  3. Step 3: Cross multiply
    27,768x = 58,635 × 58,635
  4. Step 4: Simplify right side
    27,768x = 3,438,063,225
  5. Step 5: Solve for x
    x = 3,438,063,225/27,768
  6. Step 6: Final answer
    x = 123,813.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.