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Finding the Third Proportional to 25,907 and 35,321.75

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Solution

The third proportional to 25,907 and 35,321.75 is: 48,157.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,907 : 35,321.75 = 35,321.75 : x
  2. Step 2: Convert to fraction form
    25,907/35,321.75 = 35,321.75/x
  3. Step 3: Cross multiply
    25,907x = 35,321.75 × 35,321.75
  4. Step 4: Simplify right side
    25,907x = 1,247,626,023.06
  5. Step 5: Solve for x
    x = 1,247,626,023.06/25,907
  6. Step 6: Final answer
    x = 48,157.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.