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Finding the Third Proportional to 18,024 and 38,596

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Solution

The third proportional to 18,024 and 38,596 is: 82,648.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,024 : 38,596 = 38,596 : x
  2. Step 2: Convert to fraction form
    18,024/38,596 = 38,596/x
  3. Step 3: Cross multiply
    18,024x = 38,596 × 38,596
  4. Step 4: Simplify right side
    18,024x = 1,489,651,216
  5. Step 5: Solve for x
    x = 1,489,651,216/18,024
  6. Step 6: Final answer
    x = 82,648.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.