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Finding the Third Proportional to 4,161.75 and 9,161.25

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Solution

The third proportional to 4,161.75 and 9,161.25 is: 20,166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.75 : 9,161.25 = 9,161.25 : x
  2. Step 2: Convert to fraction form
    4,161.75/9,161.25 = 9,161.25/x
  3. Step 3: Cross multiply
    4,161.75x = 9,161.25 × 9,161.25
  4. Step 4: Simplify right side
    4,161.75x = 83,928,501.56
  5. Step 5: Solve for x
    x = 83,928,501.56/4,161.75
  6. Step 6: Final answer
    x = 20,166.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.