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Finding the Third Proportional to 5,884 and 13,864

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Solution

The third proportional to 5,884 and 13,864 is: 32,666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884 : 13,864 = 13,864 : x
  2. Step 2: Convert to fraction form
    5,884/13,864 = 13,864/x
  3. Step 3: Cross multiply
    5,884x = 13,864 × 13,864
  4. Step 4: Simplify right side
    5,884x = 192,210,496
  5. Step 5: Solve for x
    x = 192,210,496/5,884
  6. Step 6: Final answer
    x = 32,666.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.