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Finding the Third Proportional to 17,724 and 25,425

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Solution

The third proportional to 17,724 and 25,425 is: 36,472.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,724 : 25,425 = 25,425 : x
  2. Step 2: Convert to fraction form
    17,724/25,425 = 25,425/x
  3. Step 3: Cross multiply
    17,724x = 25,425 × 25,425
  4. Step 4: Simplify right side
    17,724x = 646,430,625
  5. Step 5: Solve for x
    x = 646,430,625/17,724
  6. Step 6: Final answer
    x = 36,472.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.