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Finding the Third Proportional to 19,200 and 25,857

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Solution

The third proportional to 19,200 and 25,857 is: 34,822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,200 : 25,857 = 25,857 : x
  2. Step 2: Convert to fraction form
    19,200/25,857 = 25,857/x
  3. Step 3: Cross multiply
    19,200x = 25,857 × 25,857
  4. Step 4: Simplify right side
    19,200x = 668,584,449
  5. Step 5: Solve for x
    x = 668,584,449/19,200
  6. Step 6: Final answer
    x = 34,822.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.