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Finding the Third Proportional to 27,625.50 and 60,627

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Solution

The third proportional to 27,625.50 and 60,627 is: 133,052.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,625.50 : 60,627 = 60,627 : x
  2. Step 2: Convert to fraction form
    27,625.50/60,627 = 60,627/x
  3. Step 3: Cross multiply
    27,625.50x = 60,627 × 60,627
  4. Step 4: Simplify right side
    27,625.50x = 3,675,633,129
  5. Step 5: Solve for x
    x = 3,675,633,129/27,625.50
  6. Step 6: Final answer
    x = 133,052.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.