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Finding the Third Proportional to 12,161.25 and 26,454.38

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Solution

The third proportional to 12,161.25 and 26,454.38 is: 57,546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.25 : 26,454.38 = 26,454.38 : x
  2. Step 2: Convert to fraction form
    12,161.25/26,454.38 = 26,454.38/x
  3. Step 3: Cross multiply
    12,161.25x = 26,454.38 × 26,454.38
  4. Step 4: Simplify right side
    12,161.25x = 699,833,956.64
  5. Step 5: Solve for x
    x = 699,833,956.64/12,161.25
  6. Step 6: Final answer
    x = 57,546.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.