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Finding the Third Proportional to 18,405 and 40,082

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Solution

The third proportional to 18,405 and 40,082 is: 87,289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,405 : 40,082 = 40,082 : x
  2. Step 2: Convert to fraction form
    18,405/40,082 = 40,082/x
  3. Step 3: Cross multiply
    18,405x = 40,082 × 40,082
  4. Step 4: Simplify right side
    18,405x = 1,606,566,724
  5. Step 5: Solve for x
    x = 1,606,566,724/18,405
  6. Step 6: Final answer
    x = 87,289.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.