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Finding the Third Proportional to 27,024 and 38,040

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Solution

The third proportional to 27,024 and 38,040 is: 53,546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,024 : 38,040 = 38,040 : x
  2. Step 2: Convert to fraction form
    27,024/38,040 = 38,040/x
  3. Step 3: Cross multiply
    27,024x = 38,040 × 38,040
  4. Step 4: Simplify right side
    27,024x = 1,447,041,600
  5. Step 5: Solve for x
    x = 1,447,041,600/27,024
  6. Step 6: Final answer
    x = 53,546.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.