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Finding the Third Proportional to 17,712 and 25,172

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Solution

The third proportional to 17,712 and 25,172 is: 35,774.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712 : 25,172 = 25,172 : x
  2. Step 2: Convert to fraction form
    17,712/25,172 = 25,172/x
  3. Step 3: Cross multiply
    17,712x = 25,172 × 25,172
  4. Step 4: Simplify right side
    17,712x = 633,629,584
  5. Step 5: Solve for x
    x = 633,629,584/17,712
  6. Step 6: Final answer
    x = 35,774.03

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.