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Finding the Third Proportional to 26,040 and 37,100

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Solution

The third proportional to 26,040 and 37,100 is: 52,857.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,040 : 37,100 = 37,100 : x
  2. Step 2: Convert to fraction form
    26,040/37,100 = 37,100/x
  3. Step 3: Cross multiply
    26,040x = 37,100 × 37,100
  4. Step 4: Simplify right side
    26,040x = 1,376,410,000
  5. Step 5: Solve for x
    x = 1,376,410,000/26,040
  6. Step 6: Final answer
    x = 52,857.53

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.