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Finding the Third Proportional to 4,181.25 and 5,945.11

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Solution

The third proportional to 4,181.25 and 5,945.11 is: 8,453.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.25 : 5,945.11 = 5,945.11 : x
  2. Step 2: Convert to fraction form
    4,181.25/5,945.11 = 5,945.11/x
  3. Step 3: Cross multiply
    4,181.25x = 5,945.11 × 5,945.11
  4. Step 4: Simplify right side
    4,181.25x = 35,344,277.58
  5. Step 5: Solve for x
    x = 35,344,277.58/4,181.25
  6. Step 6: Final answer
    x = 8,453.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.