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Finding the Third Proportional to 8,230.50 and 18,022.50

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Solution

The third proportional to 8,230.50 and 18,022.50 is: 39,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.50 : 18,022.50 = 18,022.50 : x
  2. Step 2: Convert to fraction form
    8,230.50/18,022.50 = 18,022.50/x
  3. Step 3: Cross multiply
    8,230.50x = 18,022.50 × 18,022.50
  4. Step 4: Simplify right side
    8,230.50x = 324,810,506.25
  5. Step 5: Solve for x
    x = 324,810,506.25/8,230.50
  6. Step 6: Final answer
    x = 39,464.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.