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Finding the Third Proportional to 19,280.25 and 25,788.38

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Solution

The third proportional to 19,280.25 and 25,788.38 is: 34,493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,280.25 : 25,788.38 = 25,788.38 : x
  2. Step 2: Convert to fraction form
    19,280.25/25,788.38 = 25,788.38/x
  3. Step 3: Cross multiply
    19,280.25x = 25,788.38 × 25,788.38
  4. Step 4: Simplify right side
    19,280.25x = 665,040,285.14
  5. Step 5: Solve for x
    x = 665,040,285.14/19,280.25
  6. Step 6: Final answer
    x = 34,493.34

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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.