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Finding the Third Proportional to 18,082 and 39,239

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Solution

The third proportional to 18,082 and 39,239 is: 85,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,082 : 39,239 = 39,239 : x
  2. Step 2: Convert to fraction form
    18,082/39,239 = 39,239/x
  3. Step 3: Cross multiply
    18,082x = 39,239 × 39,239
  4. Step 4: Simplify right side
    18,082x = 1,539,699,121
  5. Step 5: Solve for x
    x = 1,539,699,121/18,082
  6. Step 6: Final answer
    x = 85,150.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.