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Finding the Third Proportional to 12,574 and 17,925

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Solution

The third proportional to 12,574 and 17,925 is: 25,553.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574 : 17,925 = 17,925 : x
  2. Step 2: Convert to fraction form
    12,574/17,925 = 17,925/x
  3. Step 3: Cross multiply
    12,574x = 17,925 × 17,925
  4. Step 4: Simplify right side
    12,574x = 321,305,625
  5. Step 5: Solve for x
    x = 321,305,625/12,574
  6. Step 6: Final answer
    x = 25,553.18

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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.