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Finding the Third Proportional to 19,812 and 30,082

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Solution

The third proportional to 19,812 and 30,082 is: 45,675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,812 : 30,082 = 30,082 : x
  2. Step 2: Convert to fraction form
    19,812/30,082 = 30,082/x
  3. Step 3: Cross multiply
    19,812x = 30,082 × 30,082
  4. Step 4: Simplify right side
    19,812x = 904,926,724
  5. Step 5: Solve for x
    x = 904,926,724/19,812
  6. Step 6: Final answer
    x = 45,675.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.