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Finding the Third Proportional to 25,502.75 and 35,849.75

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Solution

The third proportional to 25,502.75 and 35,849.75 is: 50,394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,502.75 : 35,849.75 = 35,849.75 : x
  2. Step 2: Convert to fraction form
    25,502.75/35,849.75 = 35,849.75/x
  3. Step 3: Cross multiply
    25,502.75x = 35,849.75 × 35,849.75
  4. Step 4: Simplify right side
    25,502.75x = 1,285,204,575.06
  5. Step 5: Solve for x
    x = 1,285,204,575.06/25,502.75
  6. Step 6: Final answer
    x = 50,394.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.