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Finding the Third Proportional to 9,246.23 and 20,222.37

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Solution

The third proportional to 9,246.23 and 20,222.37 is: 44,228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.23 : 20,222.37 = 20,222.37 : x
  2. Step 2: Convert to fraction form
    9,246.23/20,222.37 = 20,222.37/x
  3. Step 3: Cross multiply
    9,246.23x = 20,222.37 × 20,222.37
  4. Step 4: Simplify right side
    9,246.23x = 408,944,134.67
  5. Step 5: Solve for x
    x = 408,944,134.67/9,246.23
  6. Step 6: Final answer
    x = 44,228.18

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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.