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Finding the Third Proportional to 13,419 and 28,170

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Solution

The third proportional to 13,419 and 28,170 is: 59,136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419 : 28,170 = 28,170 : x
  2. Step 2: Convert to fraction form
    13,419/28,170 = 28,170/x
  3. Step 3: Cross multiply
    13,419x = 28,170 × 28,170
  4. Step 4: Simplify right side
    13,419x = 793,548,900
  5. Step 5: Solve for x
    x = 793,548,900/13,419
  6. Step 6: Final answer
    x = 59,136.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.