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Finding the Third Proportional to 19,137 and 25,666

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Solution

The third proportional to 19,137 and 25,666 is: 34,422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,137 : 25,666 = 25,666 : x
  2. Step 2: Convert to fraction form
    19,137/25,666 = 25,666/x
  3. Step 3: Cross multiply
    19,137x = 25,666 × 25,666
  4. Step 4: Simplify right side
    19,137x = 658,743,556
  5. Step 5: Solve for x
    x = 658,743,556/19,137
  6. Step 6: Final answer
    x = 34,422.51

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.