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Finding the Third Proportional to 12,251.25 and 26,100

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Solution

The third proportional to 12,251.25 and 26,100 is: 55,603.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.25 : 26,100 = 26,100 : x
  2. Step 2: Convert to fraction form
    12,251.25/26,100 = 26,100/x
  3. Step 3: Cross multiply
    12,251.25x = 26,100 × 26,100
  4. Step 4: Simplify right side
    12,251.25x = 681,210,000
  5. Step 5: Solve for x
    x = 681,210,000/12,251.25
  6. Step 6: Final answer
    x = 55,603.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.