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Finding the Third Proportional to 19,706 and 42,812

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Solution

The third proportional to 19,706 and 42,812 is: 93,010.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706 : 42,812 = 42,812 : x
  2. Step 2: Convert to fraction form
    19,706/42,812 = 42,812/x
  3. Step 3: Cross multiply
    19,706x = 42,812 × 42,812
  4. Step 4: Simplify right side
    19,706x = 1,832,867,344
  5. Step 5: Solve for x
    x = 1,832,867,344/19,706
  6. Step 6: Final answer
    x = 93,010.62

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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.