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Finding the Third Proportional to 2,108.25 and 3,191.25

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Solution

The third proportional to 2,108.25 and 3,191.25 is: 4,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.25 : 3,191.25 = 3,191.25 : x
  2. Step 2: Convert to fraction form
    2,108.25/3,191.25 = 3,191.25/x
  3. Step 3: Cross multiply
    2,108.25x = 3,191.25 × 3,191.25
  4. Step 4: Simplify right side
    2,108.25x = 10,184,076.56
  5. Step 5: Solve for x
    x = 10,184,076.56/2,108.25
  6. Step 6: Final answer
    x = 4,830.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.