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Finding the Third Proportional to 8,332.24 and 18,221.20

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Solution

The third proportional to 8,332.24 and 18,221.20 is: 39,846.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,332.24 : 18,221.20 = 18,221.20 : x
  2. Step 2: Convert to fraction form
    8,332.24/18,221.20 = 18,221.20/x
  3. Step 3: Cross multiply
    8,332.24x = 18,221.20 × 18,221.20
  4. Step 4: Simplify right side
    8,332.24x = 332,012,243.32
  5. Step 5: Solve for x
    x = 332,012,243.32/8,332.24
  6. Step 6: Final answer
    x = 39,846.69

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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.