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Finding the Third Proportional to 19,201.50 and 25,805.25

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Solution

The third proportional to 19,201.50 and 25,805.25 is: 34,680.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,201.50 : 25,805.25 = 25,805.25 : x
  2. Step 2: Convert to fraction form
    19,201.50/25,805.25 = 25,805.25/x
  3. Step 3: Cross multiply
    19,201.50x = 25,805.25 × 25,805.25
  4. Step 4: Simplify right side
    19,201.50x = 665,910,927.56
  5. Step 5: Solve for x
    x = 665,910,927.56/19,201.50
  6. Step 6: Final answer
    x = 34,680.15

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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.