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Finding the Third Proportional to 19,259 and 25,992

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Solution

The third proportional to 19,259 and 25,992 is: 35,078.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,259 : 25,992 = 25,992 : x
  2. Step 2: Convert to fraction form
    19,259/25,992 = 25,992/x
  3. Step 3: Cross multiply
    19,259x = 25,992 × 25,992
  4. Step 4: Simplify right side
    19,259x = 675,584,064
  5. Step 5: Solve for x
    x = 675,584,064/19,259
  6. Step 6: Final answer
    x = 35,078.88

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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.