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Finding the Third Proportional to 47,982 and 97,870

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Solution

The third proportional to 47,982 and 97,870 is: 199,627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,982 : 97,870 = 97,870 : x
  2. Step 2: Convert to fraction form
    47,982/97,870 = 97,870/x
  3. Step 3: Cross multiply
    47,982x = 97,870 × 97,870
  4. Step 4: Simplify right side
    47,982x = 9,578,536,900
  5. Step 5: Solve for x
    x = 9,578,536,900/47,982
  6. Step 6: Final answer
    x = 199,627.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.