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Finding the Third Proportional to 5,982 and 6,870

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Solution

The third proportional to 5,982 and 6,870 is: 7,889.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982 : 6,870 = 6,870 : x
  2. Step 2: Convert to fraction form
    5,982/6,870 = 6,870/x
  3. Step 3: Cross multiply
    5,982x = 6,870 × 6,870
  4. Step 4: Simplify right side
    5,982x = 47,196,900
  5. Step 5: Solve for x
    x = 47,196,900/5,982
  6. Step 6: Final answer
    x = 7,889.82

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.