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Finding the Third Proportional to 13,847 and 21,476

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Solution

The third proportional to 13,847 and 21,476 is: 33,308.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847 : 21,476 = 21,476 : x
  2. Step 2: Convert to fraction form
    13,847/21,476 = 21,476/x
  3. Step 3: Cross multiply
    13,847x = 21,476 × 21,476
  4. Step 4: Simplify right side
    13,847x = 461,218,576
  5. Step 5: Solve for x
    x = 461,218,576/13,847
  6. Step 6: Final answer
    x = 33,308.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.