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Finding the Third Proportional to 4,166.44 and 5,410.13

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Solution

The third proportional to 4,166.44 and 5,410.13 is: 7,025.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.44 : 5,410.13 = 5,410.13 : x
  2. Step 2: Convert to fraction form
    4,166.44/5,410.13 = 5,410.13/x
  3. Step 3: Cross multiply
    4,166.44x = 5,410.13 × 5,410.13
  4. Step 4: Simplify right side
    4,166.44x = 29,269,452.52
  5. Step 5: Solve for x
    x = 29,269,452.52/4,166.44
  6. Step 6: Final answer
    x = 7,025.05

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.