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Finding the Third Proportional to 18,540 and 39,024

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Solution

The third proportional to 18,540 and 39,024 is: 82,139.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,540 : 39,024 = 39,024 : x
  2. Step 2: Convert to fraction form
    18,540/39,024 = 39,024/x
  3. Step 3: Cross multiply
    18,540x = 39,024 × 39,024
  4. Step 4: Simplify right side
    18,540x = 1,522,872,576
  5. Step 5: Solve for x
    x = 1,522,872,576/18,540
  6. Step 6: Final answer
    x = 82,139.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.