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Finding the Third Proportional to 27,606 and 39,024

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Solution

The third proportional to 27,606 and 39,024 is: 55,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,606 : 39,024 = 39,024 : x
  2. Step 2: Convert to fraction form
    27,606/39,024 = 39,024/x
  3. Step 3: Cross multiply
    27,606x = 39,024 × 39,024
  4. Step 4: Simplify right side
    27,606x = 1,522,872,576
  5. Step 5: Solve for x
    x = 1,522,872,576/27,606
  6. Step 6: Final answer
    x = 55,164.55

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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.