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Finding the Third Proportional to 27,024 and 57,504

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Solution

The third proportional to 27,024 and 57,504 is: 122,361.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,024 : 57,504 = 57,504 : x
  2. Step 2: Convert to fraction form
    27,024/57,504 = 57,504/x
  3. Step 3: Cross multiply
    27,024x = 57,504 × 57,504
  4. Step 4: Simplify right side
    27,024x = 3,306,710,016
  5. Step 5: Solve for x
    x = 3,306,710,016/27,024
  6. Step 6: Final answer
    x = 122,361.98

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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.