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Finding the Third Proportional to 17,424 and 25,182

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Solution

The third proportional to 17,424 and 25,182 is: 36,394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,424 : 25,182 = 25,182 : x
  2. Step 2: Convert to fraction form
    17,424/25,182 = 25,182/x
  3. Step 3: Cross multiply
    17,424x = 25,182 × 25,182
  4. Step 4: Simplify right side
    17,424x = 634,133,124
  5. Step 5: Solve for x
    x = 634,133,124/17,424
  6. Step 6: Final answer
    x = 36,394.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.