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Finding the Third Proportional to 4,114.55 and 5,046.05

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Solution

The third proportional to 4,114.55 and 5,046.05 is: 6,188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.55 : 5,046.05 = 5,046.05 : x
  2. Step 2: Convert to fraction form
    4,114.55/5,046.05 = 5,046.05/x
  3. Step 3: Cross multiply
    4,114.55x = 5,046.05 × 5,046.05
  4. Step 4: Simplify right side
    4,114.55x = 25,462,589.06
  5. Step 5: Solve for x
    x = 25,462,589.06/4,114.55
  6. Step 6: Final answer
    x = 6,188.43

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.