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Finding the Third Proportional to 27,040 and 37,950

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Solution

The third proportional to 27,040 and 37,950 is: 53,261.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,040 : 37,950 = 37,950 : x
  2. Step 2: Convert to fraction form
    27,040/37,950 = 37,950/x
  3. Step 3: Cross multiply
    27,040x = 37,950 × 37,950
  4. Step 4: Simplify right side
    27,040x = 1,440,202,500
  5. Step 5: Solve for x
    x = 1,440,202,500/27,040
  6. Step 6: Final answer
    x = 53,261.93

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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.