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Finding the Third Proportional to 27,450 and 59,175

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Solution

The third proportional to 27,450 and 59,175 is: 127,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,450 : 59,175 = 59,175 : x
  2. Step 2: Convert to fraction form
    27,450/59,175 = 59,175/x
  3. Step 3: Cross multiply
    27,450x = 59,175 × 59,175
  4. Step 4: Simplify right side
    27,450x = 3,501,680,625
  5. Step 5: Solve for x
    x = 3,501,680,625/27,450
  6. Step 6: Final answer
    x = 127,565.78

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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.