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Finding the Third Proportional to 5,684 and 11,758

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Solution

The third proportional to 5,684 and 11,758 is: 24,322.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684 : 11,758 = 11,758 : x
  2. Step 2: Convert to fraction form
    5,684/11,758 = 11,758/x
  3. Step 3: Cross multiply
    5,684x = 11,758 × 11,758
  4. Step 4: Simplify right side
    5,684x = 138,250,564
  5. Step 5: Solve for x
    x = 138,250,564/5,684
  6. Step 6: Final answer
    x = 24,322.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.