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Finding the Third Proportional to 19,188 and 25,782

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Solution

The third proportional to 19,188 and 25,782 is: 34,642.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,188 : 25,782 = 25,782 : x
  2. Step 2: Convert to fraction form
    19,188/25,782 = 25,782/x
  3. Step 3: Cross multiply
    19,188x = 25,782 × 25,782
  4. Step 4: Simplify right side
    19,188x = 664,711,524
  5. Step 5: Solve for x
    x = 664,711,524/19,188
  6. Step 6: Final answer
    x = 34,642.04

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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.