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Finding the Third Proportional to 25,906.75 and 34,387.75

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Solution

The third proportional to 25,906.75 and 34,387.75 is: 45,645.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,906.75 : 34,387.75 = 34,387.75 : x
  2. Step 2: Convert to fraction form
    25,906.75/34,387.75 = 34,387.75/x
  3. Step 3: Cross multiply
    25,906.75x = 34,387.75 × 34,387.75
  4. Step 4: Simplify right side
    25,906.75x = 1,182,517,350.06
  5. Step 5: Solve for x
    x = 1,182,517,350.06/25,906.75
  6. Step 6: Final answer
    x = 45,645.14

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.