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Finding the Third Proportional to 5,646 and 12,102

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Solution

The third proportional to 5,646 and 12,102 is: 25,940.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646 : 12,102 = 12,102 : x
  2. Step 2: Convert to fraction form
    5,646/12,102 = 12,102/x
  3. Step 3: Cross multiply
    5,646x = 12,102 × 12,102
  4. Step 4: Simplify right side
    5,646x = 146,458,404
  5. Step 5: Solve for x
    x = 146,458,404/5,646
  6. Step 6: Final answer
    x = 25,940.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.