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Finding the Third Proportional to 4,166.25 and 5,057.25

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Solution

The third proportional to 4,166.25 and 5,057.25 is: 6,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.25 : 5,057.25 = 5,057.25 : x
  2. Step 2: Convert to fraction form
    4,166.25/5,057.25 = 5,057.25/x
  3. Step 3: Cross multiply
    4,166.25x = 5,057.25 × 5,057.25
  4. Step 4: Simplify right side
    4,166.25x = 25,575,777.56
  5. Step 5: Solve for x
    x = 25,575,777.56/4,166.25
  6. Step 6: Final answer
    x = 6,138.80

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.