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Finding the Third Proportional to 25,906.75 and 38,882.75

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Solution

The third proportional to 25,906.75 and 38,882.75 is: 58,358.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,906.75 : 38,882.75 = 38,882.75 : x
  2. Step 2: Convert to fraction form
    25,906.75/38,882.75 = 38,882.75/x
  3. Step 3: Cross multiply
    25,906.75x = 38,882.75 × 38,882.75
  4. Step 4: Simplify right side
    25,906.75x = 1,511,868,247.56
  5. Step 5: Solve for x
    x = 1,511,868,247.56/25,906.75
  6. Step 6: Final answer
    x = 58,358.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.