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Finding the Third Proportional to 4,011.19 and 5,982.19

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Solution

The third proportional to 4,011.19 and 5,982.19 is: 8,921.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,011.19 : 5,982.19 = 5,982.19 : x
  2. Step 2: Convert to fraction form
    4,011.19/5,982.19 = 5,982.19/x
  3. Step 3: Cross multiply
    4,011.19x = 5,982.19 × 5,982.19
  4. Step 4: Simplify right side
    4,011.19x = 35,786,567.29
  5. Step 5: Solve for x
    x = 35,786,567.29/4,011.19
  6. Step 6: Final answer
    x = 8,921.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.