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Finding the Third Proportional to 26,480.25 and 37,122

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Solution

The third proportional to 26,480.25 and 37,122 is: 52,040.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,480.25 : 37,122 = 37,122 : x
  2. Step 2: Convert to fraction form
    26,480.25/37,122 = 37,122/x
  3. Step 3: Cross multiply
    26,480.25x = 37,122 × 37,122
  4. Step 4: Simplify right side
    26,480.25x = 1,378,042,884
  5. Step 5: Solve for x
    x = 1,378,042,884/26,480.25
  6. Step 6: Final answer
    x = 52,040.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.