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Finding the Third Proportional to 19,982 and 42,880

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Solution

The third proportional to 19,982 and 42,880 is: 92,017.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,982 : 42,880 = 42,880 : x
  2. Step 2: Convert to fraction form
    19,982/42,880 = 42,880/x
  3. Step 3: Cross multiply
    19,982x = 42,880 × 42,880
  4. Step 4: Simplify right side
    19,982x = 1,838,694,400
  5. Step 5: Solve for x
    x = 1,838,694,400/19,982
  6. Step 6: Final answer
    x = 92,017.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.