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Finding the Third Proportional to 12,404 and 25,672

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Solution

The third proportional to 12,404 and 25,672 is: 53,132.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,404 : 25,672 = 25,672 : x
  2. Step 2: Convert to fraction form
    12,404/25,672 = 25,672/x
  3. Step 3: Cross multiply
    12,404x = 25,672 × 25,672
  4. Step 4: Simplify right side
    12,404x = 659,051,584
  5. Step 5: Solve for x
    x = 659,051,584/12,404
  6. Step 6: Final answer
    x = 53,132.18

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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.