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Finding the Third Proportional to 5,984 and 11,656

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Solution

The third proportional to 5,984 and 11,656 is: 22,704.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984 : 11,656 = 11,656 : x
  2. Step 2: Convert to fraction form
    5,984/11,656 = 11,656/x
  3. Step 3: Cross multiply
    5,984x = 11,656 × 11,656
  4. Step 4: Simplify right side
    5,984x = 135,862,336
  5. Step 5: Solve for x
    x = 135,862,336/5,984
  6. Step 6: Final answer
    x = 22,704.27

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.