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Finding the Third Proportional to 5,864 and 7,884

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Solution

The third proportional to 5,864 and 7,884 is: 10,599.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864 : 7,884 = 7,884 : x
  2. Step 2: Convert to fraction form
    5,864/7,884 = 7,884/x
  3. Step 3: Cross multiply
    5,864x = 7,884 × 7,884
  4. Step 4: Simplify right side
    5,864x = 62,157,456
  5. Step 5: Solve for x
    x = 62,157,456/5,864
  6. Step 6: Final answer
    x = 10,599.84

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.