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Finding the Third Proportional to 19,082 and 38,703

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Solution

The third proportional to 19,082 and 38,703 is: 78,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,082 : 38,703 = 38,703 : x
  2. Step 2: Convert to fraction form
    19,082/38,703 = 38,703/x
  3. Step 3: Cross multiply
    19,082x = 38,703 × 38,703
  4. Step 4: Simplify right side
    19,082x = 1,497,922,209
  5. Step 5: Solve for x
    x = 1,497,922,209/19,082
  6. Step 6: Final answer
    x = 78,499.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.