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Finding the Third Proportional to 12,524.63 and 27,020.25

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Solution

The third proportional to 12,524.63 and 27,020.25 is: 58,292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.63 : 27,020.25 = 27,020.25 : x
  2. Step 2: Convert to fraction form
    12,524.63/27,020.25 = 27,020.25/x
  3. Step 3: Cross multiply
    12,524.63x = 27,020.25 × 27,020.25
  4. Step 4: Simplify right side
    12,524.63x = 730,093,910.06
  5. Step 5: Solve for x
    x = 730,093,910.06/12,524.63
  6. Step 6: Final answer
    x = 58,292.68

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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.